%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:23:44 EDT 2022
% Result : Unsatisfiable 3.02s 3.24s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)),
input ).
fof(cls_ATP__Linkup_Oequal__imp__fequal_0_0,plain,
! [T_a,V_x] :
( hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x))
| $false ),
inference(orientation,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0]) ).
cnf(clsarity_Int__Oint__Power_Opower,axiom,
class_Power_Opower(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Power_Opower_0,plain,
( class_Power_Opower(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Power_Opower]) ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Int_Onumber__ring_0,plain,
( class_Int_Onumber__ring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Int_Onumber__ring]) ).
cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Int_Oring__char__0_0,plain,
( class_Int_Oring__char__0(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Int_Oring__char__0]) ).
cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Orderings_Oorder_0,plain,
( class_Orderings_Oorder(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Orderings_Oorder]) ).
cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Orderings_Olinorder_0,plain,
( class_Orderings_Olinorder(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Orderings_Olinorder]) ).
cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Orderings_Opreorder_0,plain,
( class_Orderings_Opreorder(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Orderings_Opreorder]) ).
cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
class_Nat_Osemiring__char__0(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Nat_Osemiring__char__0_0,plain,
( class_Nat_Osemiring__char__0(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Nat_Osemiring__char__0]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oidom_0,plain,
( class_Ring__and__Field_Oidom(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oidom]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1,axiom,
class_Ring__and__Field_Oring__1(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oring__1_0,plain,
( class_Ring__and__Field_Oring__1(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring__1]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ogroup__add_0,plain,
( class_OrderedGroup_Ogroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ogroup__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Omonoid__add_0,plain,
( class_OrderedGroup_Omonoid__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Omonoid__mult_0,plain,
( class_OrderedGroup_Omonoid__mult(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__mult]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Omult__zero_0,plain,
( class_Ring__and__Field_Omult__zero(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__zero]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Oab__group__add_0,plain,
( class_OrderedGroup_Oab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__group__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Osemiring__0_0,plain,
( class_Ring__and__Field_Osemiring__0(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Osemiring__0]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
class_Ring__and__Field_Osemiring__1(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Osemiring__1_0,plain,
( class_Ring__and__Field_Osemiring__1(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Osemiring__1]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one_0,plain,
( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add_0,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semidom]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors_0,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add_0,plain,
( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add_0,plain,
( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add_0,plain,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors_0,plain,
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).
cnf(clsarity_nat__Power_Opower,axiom,
class_Power_Opower(tc_nat),
input ).
fof(clsarity_nat__Power_Opower_0,plain,
( class_Power_Opower(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Power_Opower]) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
input ).
fof(clsarity_nat__Orderings_Oorder_0,plain,
( class_Orderings_Oorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Orderings_Oorder]) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
input ).
fof(clsarity_nat__Orderings_Olinorder_0,plain,
( class_Orderings_Olinorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Orderings_Olinorder]) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
input ).
fof(clsarity_nat__Orderings_Opreorder_0,plain,
( class_Orderings_Opreorder(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Orderings_Opreorder]) ).
cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
class_Nat_Osemiring__char__0(tc_nat),
input ).
fof(clsarity_nat__Nat_Osemiring__char__0_0,plain,
( class_Nat_Osemiring__char__0(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Nat_Osemiring__char__0]) ).
cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Omonoid__add_0,plain,
( class_OrderedGroup_Omonoid__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add]) ).
cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Omonoid__mult_0,plain,
( class_OrderedGroup_Omonoid__mult(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__mult]) ).
cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Omult__zero_0,plain,
( class_Ring__and__Field_Omult__zero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero]) ).
cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Osemiring__0_0,plain,
( class_Ring__and__Field_Osemiring__0(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__0]) ).
cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Osemiring__1_0,plain,
( class_Ring__and__Field_Osemiring__1(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__1]) ).
cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Ozero__neq__one_0,plain,
( class_Ring__and__Field_Ozero__neq__one(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ozero__neq__one]) ).
cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add]) ).
cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Oab__semigroup__add_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add]) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Oordered__semidom_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom]) ).
cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
input ).
fof(clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors]) ).
cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add]) ).
cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add]) ).
cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add_0,plain,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__comm__monoid__add]) ).
cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add]) ).
cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
input ).
fof(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)
| $false ),
inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).
cnf(cls_CHAINED_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
input ).
fof(cls_CHAINED_0_0,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____))
| $false ),
inference(orientation,[status(thm)],[cls_CHAINED_0]) ).
cnf(cls_CHAINED_1,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
input ).
fof(cls_CHAINED_1_0,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty)
| $false ),
inference(orientation,[status(thm)],[cls_CHAINED_1]) ).
cnf(cls_wtes_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,v_esa____,v_Us____),
input ).
fof(cls_wtes_0_0,plain,
( c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,v_esa____,v_Us____)
| $false ),
inference(orientation,[status(thm)],[cls_wtes_0]) ).
cnf(cls_widens__refl_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty),
input ).
fof(cls_widens__refl_0_0,plain,
! [T_a,V_P,V_xs] :
( c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty)
| $false ),
inference(orientation,[status(thm)],[cls_widens__refl_0]) ).
cnf(cls_COMBI__def__raw_0,axiom,
c_COMBI(v_P,t_a) = v_P,
input ).
fof(cls_COMBI__def__raw_0_0,plain,
( c_COMBI(v_P,t_a) = v_P
| $false ),
inference(orientation,[status(thm)],[cls_COMBI__def__raw_0]) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
input ).
fof(cls_widen__refl_0_0,plain,
! [T_a,V_P,V_T] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T))
| $false ),
inference(orientation,[status(thm)],[cls_widen__refl_0]) ).
cnf(cls_calculation_I4_J_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Us____,v_Ts____,tc_Type_Oty,tc_Type_Oty),
input ).
fof(cls_calculation_I4_J_0_0,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Us____,v_Ts____,tc_Type_Oty,tc_Type_Oty)
| $false ),
inference(orientation,[status(thm)],[cls_calculation_I4_J_0]) ).
cnf(cls_calculation_I5_J_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
input ).
fof(cls_calculation_I5_J_0_0,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
| $false ),
inference(orientation,[status(thm)],[cls_calculation_I5_J_0]) ).
cnf(cls_list__all2__Nil_1,axiom,
c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b),
input ).
fof(cls_list__all2__Nil_1_0,plain,
! [T_a,T_b,V_P] :
( c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_list__all2__Nil_1]) ).
cnf(cls_list__all2__eq_0,axiom,
c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a),
input ).
fof(cls_list__all2__eq_0_0,plain,
! [T_a,V_x] :
( c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__all2__eq_0]) ).
cnf(cls_append__eq__append__conv2_5,axiom,
c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a),
input ).
fof(cls_append__eq__append__conv2_5_0,plain,
! [T_a,V_ts,V_x,V_xs] :
( c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__append__conv2_5]) ).
cnf(cls_append__eq__append__conv2_4,axiom,
c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a),
input ).
fof(cls_append__eq__append__conv2_4_0,plain,
! [T_a,V_x,V_ys,V_zs] :
( c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__append__conv2_4]) ).
cnf(cls_append__eq__appendI_0,axiom,
c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a),
input ).
fof(cls_append__eq__appendI_0_0,plain,
! [T_a,V_us,V_xs,V_xs1] :
( c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__appendI_0]) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a),
input ).
fof(cls_append__assoc_0_0,plain,
! [T_a,V_xs,V_ys,V_zs] :
( c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__assoc_0]) ).
cnf(cls_append__is__Nil__conv_2,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_append__is__Nil__conv_2_0,plain,
! [T_a] :
( c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__is__Nil__conv_2]) ).
cnf(cls_length__rev_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),
input ).
fof(cls_length__rev_0_0,plain,
! [T_a,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_length__rev_0]) ).
cnf(cls_Nil__is__rev__conv_1,axiom,
c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a),
input ).
fof(cls_Nil__is__rev__conv_1_0,plain,
! [T_a] :
( c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Nil__is__rev__conv_1]) ).
cnf(cls_append__eq__Cons__conv_4,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a),
input ).
fof(cls_append__eq__Cons__conv_4_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__Cons__conv_4]) ).
cnf(cls_conf_0,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
input ).
fof(cls_conf_0_0,plain,
( c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| $false ),
inference(orientation,[status(thm)],[cls_conf_0]) ).
cnf(cls_list_Osimps_I2_J_0,axiom,
c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
input ).
fof(cls_list_Osimps_I2_J_0_0,plain,
! [T_a,V_a_H,V_list_H] :
( c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list_Osimps_I2_J_0]) ).
cnf(cls_drop__Nil_0,axiom,
c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_drop__Nil_0_0,plain,
! [T_a,V_n] :
( c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__Nil_0]) ).
cnf(cls_append__eq__conv__conj_0,axiom,
V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a),
input ).
fof(cls_append__eq__conv__conj_0_0,plain,
! [T_a,V_xs,V_ys] :
( c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__conv__conj_0]) ).
cnf(cls_rev__rev__ident_0,axiom,
c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs,
input ).
fof(cls_rev__rev__ident_0_0,plain,
! [T_a,V_xs] :
( c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_rev__rev__ident_0]) ).
cnf(cls_rev__swap_1,axiom,
c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys,
input ).
fof(cls_rev__swap_1_0,plain,
! [T_a,V_ys] :
( c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys
| $false ),
inference(orientation,[status(thm)],[cls_rev__swap_1]) ).
cnf(cls_rev__swap_0,axiom,
V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a),
input ).
fof(cls_rev__swap_0_0,plain,
! [T_a,V_xs] :
( c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_rev__swap_0]) ).
cnf(cls_self__append__conv2_1,axiom,
V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),
input ).
fof(cls_self__append__conv2_1_0,plain,
! [T_a,V_ys] :
( c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys
| $false ),
inference(orientation,[status(thm)],[cls_self__append__conv2_1]) ).
cnf(cls_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys,
input ).
fof(cls_append__Nil_0_0,plain,
! [T_a,V_ys] :
( c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys
| $false ),
inference(orientation,[status(thm)],[cls_append__Nil_0]) ).
cnf(cls_self__append__conv_1,axiom,
V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),
input ).
fof(cls_self__append__conv_1_0,plain,
! [T_a,V_xs] :
( c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_self__append__conv_1]) ).
cnf(cls_eq__Nil__appendI_0,axiom,
V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a),
input ).
fof(cls_eq__Nil__appendI_0_0,plain,
! [T_a,V_x] :
( c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_eq__Nil__appendI_0]) ).
cnf(cls_append__Nil2_0,axiom,
c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs,
input ).
fof(cls_append__Nil2_0_0,plain,
! [T_a,V_xs] :
( c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_append__Nil2_0]) ).
cnf(cls_take__eq__Nil_2,axiom,
c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_take__eq__Nil_2_0,plain,
! [T_a,V_n] :
( c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_take__eq__Nil_2]) ).
cnf(cls_COMBI__def_0,axiom,
c_COMBI(V_P,T_a) = V_P,
input ).
fof(cls_COMBI__def_0_0,plain,
! [T_a,V_P] :
( c_COMBI(V_P,T_a) = V_P
| $false ),
inference(orientation,[status(thm)],[cls_COMBI__def_0]) ).
cnf(cls_rev_Osimps_I2_J_0,axiom,
c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),
input ).
fof(cls_rev_Osimps_I2_J_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev_Osimps_I2_J_0]) ).
cnf(cls_rev__singleton__conv_1,axiom,
c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),
input ).
fof(cls_rev__singleton__conv_1_0,plain,
! [T_a,V_x] :
( c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__singleton__conv_1]) ).
cnf(cls_append__eq__Cons__conv_5,axiom,
c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a),
input ).
fof(cls_append__eq__Cons__conv_5_0,plain,
! [T_a,V_x,V_xa,V_zs] :
( c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__Cons__conv_5]) ).
cnf(cls_append__Cons_0,axiom,
c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a),
input ).
fof(cls_append__Cons_0_0,plain,
! [T_a,V_x,V_xs,V_ys] :
( c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__Cons_0]) ).
cnf(cls_append__eq__conv__conj_1,axiom,
V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a),
input ).
fof(cls_append__eq__conv__conj_1_0,plain,
! [T_a,V_xs,V_ys] :
( c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) = V_ys
| $false ),
inference(orientation,[status(thm)],[cls_append__eq__conv__conj_1]) ).
cnf(cls_hext__refl_0,axiom,
c_Objects_Ohext(V_h,V_h),
input ).
fof(cls_hext__refl_0_0,plain,
! [V_h] :
( c_Objects_Ohext(V_h,V_h)
| $false ),
inference(orientation,[status(thm)],[cls_hext__refl_0]) ).
cnf(cls_Cons__eq__append__conv_5,axiom,
c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a),
input ).
fof(cls_Cons__eq__append__conv_5_0,plain,
! [T_a,V_x,V_xa,V_zs] :
( c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Cons__eq__append__conv_5]) ).
cnf(cls_Cons__eq__appendI_0,axiom,
c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a),
input ).
fof(cls_Cons__eq__appendI_0_0,plain,
! [T_a,V_x,V_xs1,V_zs] :
( c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Cons__eq__appendI_0]) ).
cnf(cls_neq__Nil__conv_1,axiom,
c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
input ).
fof(cls_neq__Nil__conv_1_0,plain,
! [T_a,V_x,V_xa] :
( c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_neq__Nil__conv_1]) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
input ).
fof(cls_list_Osimps_I3_J_0_0,plain,
! [T_a,V_a_H,V_list_H] :
( c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list_Osimps_I3_J_0]) ).
cnf(cls_append__take__drop__id_0,axiom,
c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs,
input ).
fof(cls_append__take__drop__id_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_append__take__drop__id_0]) ).
cnf(cls_rev__eq__Cons__iff_1,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a),
input ).
fof(cls_rev__eq__Cons__iff_1_0,plain,
! [T_a,V_y,V_ys] :
( c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__eq__Cons__iff_1]) ).
cnf(cls_wte_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
input ).
fof(cls_wte_0_0,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____))
| $false ),
inference(orientation,[status(thm)],[cls_wte_0]) ).
cnf(cls_not__Cons__self2_0,axiom,
c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
input ).
fof(cls_not__Cons__self2_0_0,plain,
! [T_a,V_t,V_x] :
( c_List_Olist_OCons(V_x,V_t,T_a) != V_t
| $false ),
inference(orientation,[status(thm)],[cls_not__Cons__self2_0]) ).
cnf(cls_not__Cons__self_0,axiom,
V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
input ).
fof(cls_not__Cons__self_0_0,plain,
! [T_a,V_x,V_xs] :
( V_xs != c_List_Olist_OCons(V_x,V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_not__Cons__self_0]) ).
cnf(cls_Cons__eq__append__conv_4,axiom,
c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a),
input ).
fof(cls_Cons__eq__append__conv_4_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Cons__eq__append__conv_4]) ).
cnf(cls_singleton__rev__conv_1,axiom,
c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),
input ).
fof(cls_singleton__rev__conv_1_0,plain,
! [T_a,V_x] :
( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_singleton__rev__conv_1]) ).
cnf(cls_Nil__is__append__conv_2,axiom,
c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a),
input ).
fof(cls_Nil__is__append__conv_2_0,plain,
! [T_a] :
( c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Nil__is__append__conv_2]) ).
cnf(cls_rev__is__Nil__conv_1,axiom,
c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_rev__is__Nil__conv_1_0,plain,
! [T_a] :
( c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__is__Nil__conv_1]) ).
cnf(cls_rev__append_0,axiom,
c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a),
input ).
fof(cls_rev__append_0_0,plain,
! [T_a,V_xs,V_ys] :
( c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__append_0]) ).
cnf(cls_rev__take_0,axiom,
c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a),
input ).
fof(cls_rev__take_0_0,plain,
! [T_a,V_i,V_xs] :
( c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__take_0]) ).
cnf(cls_rev__drop_0,axiom,
c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a),
input ).
fof(cls_rev__drop_0_0,plain,
! [T_a,V_i,V_xs] :
( c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__drop_0]) ).
cnf(cls_drop__append_0,axiom,
c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a),
input ).
fof(cls_drop__append_0_0,plain,
! [T_a,V_n,V_xs,V_ys] :
( c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__append_0]) ).
cnf(cls_take__append_0,axiom,
c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a),
input ).
fof(cls_take__append_0_0,plain,
! [T_a,V_n,V_xs,V_ys] :
( c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_take__append_0]) ).
cnf(cls_wt_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
input ).
fof(cls_wt_0_0,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____)
| $false ),
inference(orientation,[status(thm)],[cls_wt_0]) ).
cnf(cls_take__Cons_H_0,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_take__Cons_H_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_take__Cons_H_0]) ).
cnf(cls_take__1__Cons_0,axiom,
c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),
input ).
fof(cls_take__1__Cons_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_take__1__Cons_0]) ).
cnf(cls_exp_Osimps_I81_J_0,axiom,
c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a),
input ).
fof(cls_exp_Osimps_I81_J_0_0,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I81_J_0]) ).
cnf(cls_le0_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),
input ).
fof(cls_le0_0_0,plain,
! [V_n] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_le0_0]) ).
cnf(cls_diff__commute_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat),
input ).
fof(cls_diff__commute_0_0,plain,
! [V_i,V_j,V_k] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__commute_0]) ).
cnf(cls_diff__le__self_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat),
input ).
fof(cls_diff__le__self_0_0,plain,
! [V_m,V_n] :
( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__le__self_0]) ).
cnf(cls_diff__0__eq__0_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
input ).
fof(cls_diff__0__eq__0_0_0,plain,
! [V_n] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__0__eq__0_0]) ).
cnf(cls_drop__0_0,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs,
input ).
fof(cls_drop__0_0_0,plain,
! [T_a,V_xs] :
( c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_drop__0_0]) ).
cnf(cls_diff__self__eq__0_0,axiom,
c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
input ).
fof(cls_diff__self__eq__0_0_0,plain,
! [V_m] :
( c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__self__eq__0_0]) ).
cnf(cls_minus__nat_Odiff__0_0,axiom,
c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m,
input ).
fof(cls_minus__nat_Odiff__0_0_0,plain,
! [V_m] :
( c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m
| $false ),
inference(orientation,[status(thm)],[cls_minus__nat_Odiff__0_0]) ).
cnf(cls_le__0__eq_1,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
input ).
fof(cls_le__0__eq_1_0,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_le__0__eq_1]) ).
cnf(cls_le__refl_0,axiom,
c_lessequals(V_n,V_n,tc_nat),
input ).
fof(cls_le__refl_0_0,plain,
! [V_n] :
( c_lessequals(V_n,V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_le__refl_0]) ).
cnf(cls_eq__imp__le_0,axiom,
c_lessequals(V_x,V_x,tc_nat),
input ).
fof(cls_eq__imp__le_0_0,plain,
! [V_x] :
( c_lessequals(V_x,V_x,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_eq__imp__le_0]) ).
cnf(cls_exp_Osimps_I80_J_0,axiom,
c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a),
input ).
fof(cls_exp_Osimps_I80_J_0_0,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_exp_Osimps_I80_J_0]) ).
cnf(cls_impossible__Cons_0,axiom,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat),
input ).
fof(cls_impossible__Cons_0_0,plain,
! [T_a,V_x,V_ys] :
( ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_impossible__Cons_0]) ).
cnf(cls_length__0__conv_1,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat),
input ).
fof(cls_length__0__conv_1_0,plain,
! [T_a] :
( c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_length__0__conv_1]) ).
cnf(cls_take__0_0,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_take__0_0_0,plain,
! [T_a,V_xs] :
( c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_take__0_0]) ).
cnf(cls_drop__1__Cons_0,axiom,
c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs,
input ).
fof(cls_drop__1__Cons_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_drop__1__Cons_0]) ).
cnf(cls_drop__Cons_H_0,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a),
input ).
fof(cls_drop__Cons_H_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__Cons_H_0]) ).
cnf(cls_length__drop_0,axiom,
c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat),
input ).
fof(cls_length__drop_0_0,plain,
! [T_a,V_n,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_length__drop_0]) ).
cnf(cls_drop__take_0,axiom,
c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a),
input ).
fof(cls_drop__take_0_0,plain,
! [T_a,V_m,V_n,V_xs] :
( c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__take_0]) ).
cnf(cls_butlast__conv__take_0,axiom,
c_List_Obutlast(V_xs,T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),
input ).
fof(cls_butlast__conv__take_0_0,plain,
! [T_a,V_xs] :
( c_List_Obutlast(V_xs,T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_butlast__conv__take_0]) ).
cnf(cls_tl__take_0,axiom,
c_List_Otl(c_List_Otake(V_n,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(V_xs,T_a),T_a),
input ).
fof(cls_tl__take_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Otl(c_List_Otake(V_n,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_tl__take_0]) ).
cnf(cls_length__butlast_0,axiom,
c_Nat_Osize__class_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
input ).
fof(cls_length__butlast_0_0,plain,
! [T_a,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_length__butlast_0]) ).
cnf(cls_length__tl_0,axiom,
c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
input ).
fof(cls_length__tl_0_0,plain,
! [T_a,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_length__tl_0]) ).
cnf(cls_nth__append__length_0,axiom,
hAPP(c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))) = V_x,
input ).
fof(cls_nth__append__length_0_0,plain,
! [T_a,V_x,V_xs,V_ys] :
( hAPP(c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_nth__append__length_0]) ).
cnf(cls_list__update__length_0,axiom,
c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a),
input ).
fof(cls_list__update__length_0_0,plain,
! [T_a,V_x,V_xs,V_y,V_ys] :
( c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__update__length_0]) ).
cnf(cls_replicate__append__same_0,axiom,
c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a),
input ).
fof(cls_replicate__append__same_0_0,plain,
! [T_a,V_i,V_x] :
( c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_replicate__append__same_0]) ).
cnf(cls_rotate__simps_1,axiom,
c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b),
input ).
fof(cls_rotate__simps_1_0,plain,
! [T_b,V_x,V_xs] :
( c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b)
| $false ),
inference(orientation,[status(thm)],[cls_rotate__simps_1]) ).
cnf(cls_take__drop_0,axiom,
c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(V_m,c_List_Otake(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a),T_a),
input ).
fof(cls_take__drop_0_0,plain,
! [T_a,V_m,V_n,V_xs] :
( c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(V_m,c_List_Otake(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_take__drop_0]) ).
cnf(cls_widen__Class_2,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),c_Type_Oty_OClass(V_C))),
input ).
fof(cls_widen__Class_2_0,plain,
! [T_a,V_C,V_P] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),c_Type_Oty_OClass(V_C)))
| $false ),
inference(orientation,[status(thm)],[cls_widen__Class_2]) ).
cnf(cls_length__append_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat),
input ).
fof(cls_length__append_0_0,plain,
! [T_a,V_xs,V_ys] :
( c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_length__append_0]) ).
cnf(cls_butlast__append_0,axiom,
c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a),
input ).
fof(cls_butlast__append_0_0,plain,
! [T_a,V_xs] :
( c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_butlast__append_0]) ).
cnf(cls_replicate__app__Cons__same_0,axiom,
c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a),
input ).
fof(cls_replicate__app__Cons__same_0_0,plain,
! [T_a,V_n,V_x,V_xs] :
( c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_replicate__app__Cons__same_0]) ).
cnf(cls_butlast_Osimps_I2_J_0,axiom,
c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_butlast_Osimps_I2_J_0_0,plain,
! [T_a,V_x] :
( c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_butlast_Osimps_I2_J_0]) ).
cnf(cls_list__update__overwrite_0,axiom,
c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a),
input ).
fof(cls_list__update__overwrite_0_0,plain,
! [T_a,V_i,V_x,V_xs,V_y] :
( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__update__overwrite_0]) ).
cnf(cls_rotate1__rotate__swap_0,axiom,
c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a),
input ).
fof(cls_rotate1__rotate__swap_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rotate1__rotate__swap_0]) ).
cnf(cls_nth__append__length__plus_0,axiom,
hAPP(c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),T_a),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)) = hAPP(c_List_Onth(V_ys,T_a),V_n),
input ).
fof(cls_nth__append__length__plus_0_0,plain,
! [T_a,V_n,V_xs,V_ys] :
( hAPP(c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),T_a),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)) = hAPP(c_List_Onth(V_ys,T_a),V_n)
| $false ),
inference(orientation,[status(thm)],[cls_nth__append__length__plus_0]) ).
cnf(cls_butlast_Osimps_I1_J_0,axiom,
c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_butlast_Osimps_I1_J_0_0,plain,
! [T_a] :
( c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_butlast_Osimps_I1_J_0]) ).
cnf(cls_ty_Osimps_I20_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H),
input ).
fof(cls_ty_Osimps_I20_J_0_0,plain,
! [V_list_H] :
( c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H)
| $false ),
inference(orientation,[status(thm)],[cls_ty_Osimps_I20_J_0]) ).
cnf(cls_tl_Osimps_I1_J_0,axiom,
c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_tl_Osimps_I1_J_0_0,plain,
! [T_a] :
( c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_tl_Osimps_I1_J_0]) ).
cnf(cls_list__update__id_0,axiom,
c_List_Olist__update(V_xs,V_i,hAPP(c_List_Onth(V_xs,T_a),V_i),T_a) = V_xs,
input ).
fof(cls_list__update__id_0_0,plain,
! [T_a,V_i,V_xs] :
( c_List_Olist__update(V_xs,V_i,hAPP(c_List_Onth(V_xs,T_a),V_i),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_list__update__id_0]) ).
cnf(cls_length__replicate_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n,
input ).
fof(cls_length__replicate_0_0,plain,
! [T_a,V_n,V_x] :
( c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n
| $false ),
inference(orientation,[status(thm)],[cls_length__replicate_0]) ).
cnf(cls_replicate__add_0,axiom,
c_List_Oreplicate(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a),
input ).
fof(cls_replicate__add_0_0,plain,
! [T_a,V_m,V_n,V_x] :
( c_List_Oreplicate(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_replicate__add_0]) ).
cnf(cls_drop__drop_0,axiom,
c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a),
input ).
fof(cls_drop__drop_0_0,plain,
! [T_a,V_m,V_n,V_xs] :
( c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__drop_0]) ).
cnf(cls_append__replicate__commute_0,axiom,
c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a),
input ).
fof(cls_append__replicate__commute_0_0,plain,
! [T_a,V_k,V_n,V_x] :
( c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_append__replicate__commute_0]) ).
cnf(cls_tl_Osimps_I2_J_0,axiom,
c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs,
input ).
fof(cls_tl_Osimps_I2_J_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_tl_Osimps_I2_J_0]) ).
cnf(cls_le__iff__add_1,axiom,
c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat),
input ).
fof(cls_le__iff__add_1_0,plain,
! [V_m,V_x] :
( c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_le__iff__add_1]) ).
cnf(cls_le__add2_0,axiom,
c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat),
input ).
fof(cls_le__add2_0_0,plain,
! [V_m,V_n] :
( c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_le__add2_0]) ).
cnf(cls_le__add1_0,axiom,
c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat),
input ).
fof(cls_le__add1_0_0,plain,
! [V_m,V_n] :
( c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_le__add1_0]) ).
cnf(cls_length__rotate1_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),
input ).
fof(cls_length__rotate1_0_0,plain,
! [T_a,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_length__rotate1_0]) ).
cnf(cls_empty__replicate_1,axiom,
c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a),
input ).
fof(cls_empty__replicate_1_0,plain,
! [T_a,V_x] :
( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_empty__replicate_1]) ).
cnf(cls_length__rotate_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),
input ).
fof(cls_length__rotate_0_0,plain,
! [T_a,V_n,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_length__rotate_0]) ).
cnf(cls_Nitpick_Onat__case__def_0,axiom,
c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x,
input ).
fof(cls_Nitpick_Onat__case__def_0_0,plain,
! [T_a,V_f,V_x] :
( c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_Nitpick_Onat__case__def_0]) ).
cnf(cls_nat__case__0_0,axiom,
c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1,
input ).
fof(cls_nat__case__0_0_0,plain,
! [T_a,V_f1,V_f2] :
( c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1
| $false ),
inference(orientation,[status(thm)],[cls_nat__case__0_0]) ).
cnf(cls_nth__Cons_H_0,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),c_HOL_Ozero__class_Ozero(tc_nat)) = V_x,
input ).
fof(cls_nth__Cons_H_0_0,plain,
! [T_a,V_x,V_xs] :
( hAPP(c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),c_HOL_Ozero__class_Ozero(tc_nat)) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_nth__Cons_H_0]) ).
cnf(cls_rev__replicate_0,axiom,
c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a),
input ).
fof(cls_rev__replicate_0_0,plain,
! [T_a,V_n,V_x] :
( c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rev__replicate_0]) ).
cnf(cls_nat__add__commute_0,axiom,
c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),
input ).
fof(cls_nat__add__commute_0_0,plain,
! [V_m,V_n] :
( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_nat__add__commute_0]) ).
cnf(cls_butlast__snoc_0,axiom,
c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs,
input ).
fof(cls_butlast__snoc_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs
| $false ),
inference(orientation,[status(thm)],[cls_butlast__snoc_0]) ).
cnf(cls_rotate__rotate_0,axiom,
c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_xs,T_a),
input ).
fof(cls_rotate__rotate_0_0,plain,
! [T_a,V_m,V_n,V_xs] :
( c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rotate__rotate_0]) ).
cnf(cls_diff__add__inverse_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m,
input ).
fof(cls_diff__add__inverse_0_0,plain,
! [V_m,V_n] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m
| $false ),
inference(orientation,[status(thm)],[cls_diff__add__inverse_0]) ).
cnf(cls_diff__add__inverse2_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m,
input ).
fof(cls_diff__add__inverse2_0_0,plain,
! [V_m,V_n] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m
| $false ),
inference(orientation,[status(thm)],[cls_diff__add__inverse2_0]) ).
cnf(cls_Nat_Oadd__0__right_0,axiom,
c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m,
input ).
fof(cls_Nat_Oadd__0__right_0_0,plain,
! [V_m] :
( c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m
| $false ),
inference(orientation,[status(thm)],[cls_Nat_Oadd__0__right_0]) ).
cnf(cls_plus__nat_Oadd__0_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n,
input ).
fof(cls_plus__nat_Oadd__0_0_0,plain,
! [V_n] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n
| $false ),
inference(orientation,[status(thm)],[cls_plus__nat_Oadd__0_0]) ).
cnf(cls_natgb_Oadd__r0__iff_1,axiom,
V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
input ).
fof(cls_natgb_Oadd__r0__iff_1_0,plain,
! [V_x] :
( V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_natgb_Oadd__r0__iff_1]) ).
cnf(cls_length__list__update_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),
input ).
fof(cls_length__list__update_0_0,plain,
! [T_a,V_i,V_x,V_xs] :
( c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))
| $false ),
inference(orientation,[status(thm)],[cls_length__list__update_0]) ).
cnf(cls_list__update__code_I2_J_0,axiom,
c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a),
input ).
fof(cls_list__update__code_I2_J_0_0,plain,
! [T_a,V_x,V_xs,V_y] :
( c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__update__code_I2_J_0]) ).
cnf(cls_rotate__is__Nil__conv_1,axiom,
c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_rotate__is__Nil__conv_1_0,plain,
! [T_a,V_n] :
( c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rotate__is__Nil__conv_1]) ).
cnf(cls_replicate__empty_1,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_replicate__empty_1_0,plain,
! [T_a,V_x] :
( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_replicate__empty_1]) ).
cnf(cls_drop__replicate_0,axiom,
c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a),
input ).
fof(cls_drop__replicate_0_0,plain,
! [T_a,V_i,V_k,V_x] :
( c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__replicate_0]) ).
cnf(cls_replicate__eq__replicate_2,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a),
input ).
fof(cls_replicate__eq__replicate_2_0,plain,
! [T_a,V_x,V_y] :
( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a)
| c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ),
inference(orientation,[status(thm)],[cls_replicate__eq__replicate_2]) ).
cnf(cls_nth_Osimps_0,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),V_n) = c_Nat_Onat_Onat__case(V_x,c_List_Onth(V_xs,T_a),V_n,T_a),
input ).
fof(cls_nth_Osimps_0_0,plain,
! [T_a,V_n,V_x,V_xs] :
( hAPP(c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),V_n) = c_Nat_Onat_Onat__case(V_x,c_List_Onth(V_xs,T_a),V_n,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_nth_Osimps_0]) ).
cnf(cls_butlast__drop_0,axiom,
c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a),
input ).
fof(cls_butlast__drop_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_butlast__drop_0]) ).
cnf(cls_list__update_Osimps_I1_J_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_list__update_Osimps_I1_J_0_0,plain,
! [T_a,V_i,V_v] :
( c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__update_Osimps_I1_J_0]) ).
cnf(cls_list__update__code_I1_J_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_list__update__code_I1_J_0_0,plain,
! [T_a,V_i,V_y] :
( c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__update__code_I1_J_0]) ).
cnf(cls_list__update__nonempty_1,axiom,
c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_list__update__nonempty_1_0,plain,
! [T_a,V_k,V_x] :
( c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_list__update__nonempty_1]) ).
cnf(cls_ty_Osimps_I21_J_0,axiom,
c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT,
input ).
fof(cls_ty_Osimps_I21_J_0_0,plain,
! [V_list_H] :
( c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT
| $false ),
inference(orientation,[status(thm)],[cls_ty_Osimps_I21_J_0]) ).
cnf(cls_diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),
input ).
fof(cls_diff__cancel_0_0,plain,
! [V_k,V_m,V_n] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__cancel_0]) ).
cnf(cls_diff__cancel2_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),
input ).
fof(cls_diff__cancel2_0_0,plain,
! [V_k,V_m,V_n] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__cancel2_0]) ).
cnf(cls_tl__drop_0,axiom,
c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a),
input ).
fof(cls_tl__drop_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_tl__drop_0]) ).
cnf(cls_drop__butlast_0,axiom,
c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a),
input ).
fof(cls_drop__butlast_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__butlast_0]) ).
cnf(cls_diff__diff__left_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat),
input ).
fof(cls_diff__diff__left_0_0,plain,
! [V_i,V_j,V_k] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__diff__left_0]) ).
cnf(cls_diff__add__0_0,axiom,
c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
input ).
fof(cls_diff__add__0_0_0,plain,
! [V_m,V_n] :
( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_diff__add__0_0]) ).
cnf(cls_nat__add__assoc_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat),
input ).
fof(cls_nat__add__assoc_0_0,plain,
! [V_k,V_m,V_n] :
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_nat__add__assoc_0]) ).
cnf(cls_nat__add__left__commute_0,axiom,
c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat),
input ).
fof(cls_nat__add__left__commute_0_0,plain,
! [V_x,V_y,V_z] :
( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_nat__add__left__commute_0]) ).
cnf(cls_butlast__list__update_0,axiom,
c_List_Obutlast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = c_List_Obutlast(V_xs,T_a),
input ).
fof(cls_butlast__list__update_0_0,plain,
! [T_a,V_x,V_xs] :
( c_List_Obutlast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = c_List_Obutlast(V_xs,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_butlast__list__update_0]) ).
cnf(cls_add__is__0_2,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
input ).
fof(cls_add__is__0_2_0,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| $false ),
inference(orientation,[status(thm)],[cls_add__is__0_2]) ).
cnf(cls_rotate__simps_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
input ).
fof(cls_rotate__simps_0_0,plain,
! [T_a] :
( c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rotate__simps_0]) ).
cnf(cls_drop__tl_0,axiom,
c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a),
input ).
fof(cls_drop__tl_0_0,plain,
! [T_a,V_n,V_xs] :
( c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_drop__tl_0]) ).
fof(def_lhs_atom1,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom1(V_xs,V_n,T_a)
<=> c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [T_a,V_n,V_xs] :
( lhs_atom1(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__tl_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [T_a] :
( lhs_atom2(T_a)
<=> c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [T_a] :
( lhs_atom2(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rotate__simps_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[cls_add__is__0_2_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom4(V_xs,V_x,T_a)
<=> c_List_Obutlast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = c_List_Obutlast(V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
! [T_a,V_x,V_xs] :
( lhs_atom4(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast__list__update_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_z,V_y,V_x] :
( lhs_atom5(V_z,V_y,V_x)
<=> c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [V_x,V_y,V_z] :
( lhs_atom5(V_z,V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_nat__add__left__commute_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_n,V_m,V_k] :
( lhs_atom6(V_n,V_m,V_k)
<=> c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
! [V_k,V_m,V_n] :
( lhs_atom6(V_n,V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_nat__add__assoc_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_n,V_m] :
( lhs_atom7(V_n,V_m)
<=> c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
! [V_m,V_n] :
( lhs_atom7(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__add__0_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_k,V_j,V_i] :
( lhs_atom8(V_k,V_j,V_i)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_7,plain,
! [V_i,V_j,V_k] :
( lhs_atom8(V_k,V_j,V_i)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__diff__left_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom9(V_xs,V_n,T_a)
<=> c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_8,plain,
! [T_a,V_n,V_xs] :
( lhs_atom9(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__butlast_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom10(V_xs,V_n,T_a)
<=> c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_9,plain,
! [T_a,V_n,V_xs] :
( lhs_atom10(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_tl__drop_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_n,V_m,V_k] :
( lhs_atom11(V_n,V_m,V_k)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_10,plain,
! [V_k,V_m,V_n] :
( lhs_atom11(V_n,V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__cancel2_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V_n,V_m,V_k] :
( lhs_atom12(V_n,V_m,V_k)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_11,plain,
! [V_k,V_m,V_n] :
( lhs_atom12(V_n,V_m,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__cancel_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V_list_H] :
( lhs_atom13(V_list_H)
<=> c_Type_Oty_OClass(V_list_H) != c_Type_Oty_ONT ),
inference(definition,[],[]) ).
fof(to_be_clausified_12,plain,
! [V_list_H] :
( lhs_atom13(V_list_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I21_J_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V_x,V_k,T_a] :
( lhs_atom14(V_x,V_k,T_a)
<=> c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_13,plain,
! [T_a,V_k,V_x] :
( lhs_atom14(V_x,V_k,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update__nonempty_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V_y,V_i,T_a] :
( lhs_atom15(V_y,V_i,T_a)
<=> c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_14,plain,
! [T_a,V_i,V_y] :
( lhs_atom15(V_y,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update__code_I1_J_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V_v,V_i,T_a] :
( lhs_atom16(V_v,V_i,T_a)
<=> c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_15,plain,
! [T_a,V_i,V_v] :
( lhs_atom16(V_v,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update_Osimps_I1_J_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom17(V_xs,V_n,T_a)
<=> c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_16,plain,
! [T_a,V_n,V_xs] :
( lhs_atom17(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast__drop_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V_xs,V_x,V_n,T_a] :
( lhs_atom18(V_xs,V_x,V_n,T_a)
<=> hAPP(c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),V_n) = c_Nat_Onat_Onat__case(V_x,c_List_Onth(V_xs,T_a),V_n,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
! [T_a,V_n,V_x,V_xs] :
( lhs_atom18(V_xs,V_x,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_nth_Osimps_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [V_y,V_x,T_a] :
( lhs_atom19(V_y,V_x,T_a)
<=> c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_18,plain,
! [T_a,V_x,V_y] :
( lhs_atom19(V_y,V_x,T_a)
| c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ),
inference(fold_definition,[status(thm)],[cls_replicate__eq__replicate_2_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V_x,V_k,V_i,T_a] :
( lhs_atom20(V_x,V_k,V_i,T_a)
<=> c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_19,plain,
! [T_a,V_i,V_k,V_x] :
( lhs_atom20(V_x,V_k,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__replicate_0_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V_x,T_a] :
( lhs_atom21(V_x,T_a)
<=> c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_20,plain,
! [T_a,V_x] :
( lhs_atom21(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_replicate__empty_1_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [V_n,T_a] :
( lhs_atom22(V_n,T_a)
<=> c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
! [T_a,V_n] :
( lhs_atom22(V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rotate__is__Nil__conv_1_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [V_y,V_xs,V_x,T_a] :
( lhs_atom23(V_y,V_xs,V_x,T_a)
<=> c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [T_a,V_x,V_xs,V_y] :
( lhs_atom23(V_y,V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update__code_I2_J_0_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [V_xs,V_x,V_i,T_a] :
( lhs_atom24(V_xs,V_x,V_i,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_23,plain,
! [T_a,V_i,V_x,V_xs] :
( lhs_atom24(V_xs,V_x,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__list__update_0_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [V_x] :
( lhs_atom25(V_x)
<=> V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [V_x] :
( lhs_atom25(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_natgb_Oadd__r0__iff_1_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [V_n] :
( lhs_atom26(V_n)
<=> c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ),
inference(definition,[],[]) ).
fof(to_be_clausified_25,plain,
! [V_n] :
( lhs_atom26(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_plus__nat_Oadd__0_0_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [V_m] :
( lhs_atom27(V_m)
<=> c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ),
inference(definition,[],[]) ).
fof(to_be_clausified_26,plain,
! [V_m] :
( lhs_atom27(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nat_Oadd__0__right_0_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [V_n,V_m] :
( lhs_atom28(V_n,V_m)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ),
inference(definition,[],[]) ).
fof(to_be_clausified_27,plain,
! [V_m,V_n] :
( lhs_atom28(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__add__inverse2_0_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [V_n,V_m] :
( lhs_atom29(V_n,V_m)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ),
inference(definition,[],[]) ).
fof(to_be_clausified_28,plain,
! [V_m,V_n] :
( lhs_atom29(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__add__inverse_0_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [V_xs,V_n,V_m,T_a] :
( lhs_atom30(V_xs,V_n,V_m,T_a)
<=> c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_29,plain,
! [T_a,V_m,V_n,V_xs] :
( lhs_atom30(V_xs,V_n,V_m,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rotate__rotate_0_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom31(V_xs,V_x,T_a)
<=> c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_30,plain,
! [T_a,V_x,V_xs] :
( lhs_atom31(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast__snoc_0_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [V_n,V_m] :
( lhs_atom32(V_n,V_m)
<=> c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_31,plain,
! [V_m,V_n] :
( lhs_atom32(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_nat__add__commute_0_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [V_x,V_n,T_a] :
( lhs_atom33(V_x,V_n,T_a)
<=> c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_32,plain,
! [T_a,V_n,V_x] :
( lhs_atom33(V_x,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__replicate_0_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom34(V_xs,V_x,T_a)
<=> hAPP(c_List_Onth(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ),
inference(definition,[],[]) ).
fof(to_be_clausified_33,plain,
! [T_a,V_x,V_xs] :
( lhs_atom34(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_nth__Cons_H_0_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [V_f2,V_f1,T_a] :
( lhs_atom35(V_f2,V_f1,T_a)
<=> c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ),
inference(definition,[],[]) ).
fof(to_be_clausified_34,plain,
! [T_a,V_f1,V_f2] :
( lhs_atom35(V_f2,V_f1,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_nat__case__0_0_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
! [V_x,V_f,T_a] :
( lhs_atom36(V_x,V_f,T_a)
<=> c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ),
inference(definition,[],[]) ).
fof(to_be_clausified_35,plain,
! [T_a,V_f,V_x] :
( lhs_atom36(V_x,V_f,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nitpick_Onat__case__def_0_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom37(V_xs,V_n,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_36,plain,
! [T_a,V_n,V_xs] :
( lhs_atom37(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__rotate_0_0,def_lhs_atom37]) ).
fof(to_be_clausified_37,plain,
! [T_a,V_x] :
( lhs_atom21(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty__replicate_1_0,def_lhs_atom21]) ).
fof(def_lhs_atom38,axiom,
! [V_xs,T_a] :
( lhs_atom38(V_xs,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_38,plain,
! [T_a,V_xs] :
( lhs_atom38(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__rotate1_0_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [V_n,V_m] :
( lhs_atom39(V_n,V_m)
<=> c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_39,plain,
! [V_m,V_n] :
( lhs_atom39(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_le__add1_0_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [V_n,V_m] :
( lhs_atom40(V_n,V_m)
<=> c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_40,plain,
! [V_m,V_n] :
( lhs_atom40(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_le__add2_0_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V_x,V_m] :
( lhs_atom41(V_x,V_m)
<=> c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_41,plain,
! [V_m,V_x] :
( lhs_atom41(V_x,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_le__iff__add_1_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom42(V_xs,V_x,T_a)
<=> c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_42,plain,
! [T_a,V_x,V_xs] :
( lhs_atom42(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_tl_Osimps_I2_J_0_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [V_x,V_n,V_k,T_a] :
( lhs_atom43(V_x,V_n,V_k,T_a)
<=> c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_43,plain,
! [T_a,V_k,V_n,V_x] :
( lhs_atom43(V_x,V_n,V_k,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__replicate__commute_0_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [V_xs,V_n,V_m,T_a] :
( lhs_atom44(V_xs,V_n,V_m,T_a)
<=> c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_44,plain,
! [T_a,V_m,V_n,V_xs] :
( lhs_atom44(V_xs,V_n,V_m,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__drop_0_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
! [V_x,V_n,V_m,T_a] :
( lhs_atom45(V_x,V_n,V_m,T_a)
<=> c_List_Oreplicate(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_45,plain,
! [T_a,V_m,V_n,V_x] :
( lhs_atom45(V_x,V_n,V_m,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_replicate__add_0_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
! [V_x,V_n,T_a] :
( lhs_atom46(V_x,V_n,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ),
inference(definition,[],[]) ).
fof(to_be_clausified_46,plain,
! [T_a,V_n,V_x] :
( lhs_atom46(V_x,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__replicate_0_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
! [V_xs,V_i,T_a] :
( lhs_atom47(V_xs,V_i,T_a)
<=> c_List_Olist__update(V_xs,V_i,hAPP(c_List_Onth(V_xs,T_a),V_i),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_47,plain,
! [T_a,V_i,V_xs] :
( lhs_atom47(V_xs,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update__id_0_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [T_a] :
( lhs_atom48(T_a)
<=> c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_48,plain,
! [T_a] :
( lhs_atom48(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_tl_Osimps_I1_J_0_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [V_list_H] :
( lhs_atom49(V_list_H)
<=> c_Type_Oty_ONT != c_Type_Oty_OClass(V_list_H) ),
inference(definition,[],[]) ).
fof(to_be_clausified_49,plain,
! [V_list_H] :
( lhs_atom49(V_list_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_ty_Osimps_I20_J_0_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
! [T_a] :
( lhs_atom50(T_a)
<=> c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_50,plain,
! [T_a] :
( lhs_atom50(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast_Osimps_I1_J_0_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
! [V_ys,V_xs,V_n,T_a] :
( lhs_atom51(V_ys,V_xs,V_n,T_a)
<=> hAPP(c_List_Onth(c_List_Oappend(V_xs,V_ys,T_a),T_a),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat)) = hAPP(c_List_Onth(V_ys,T_a),V_n) ),
inference(definition,[],[]) ).
fof(to_be_clausified_51,plain,
! [T_a,V_n,V_xs,V_ys] :
( lhs_atom51(V_ys,V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_nth__append__length__plus_0_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom52(V_xs,V_n,T_a)
<=> c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_52,plain,
! [T_a,V_n,V_xs] :
( lhs_atom52(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rotate1__rotate__swap_0_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
! [V_y,V_xs,V_x,V_i,T_a] :
( lhs_atom53(V_y,V_xs,V_x,V_i,T_a)
<=> c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_53,plain,
! [T_a,V_i,V_x,V_xs,V_y] :
( lhs_atom53(V_y,V_xs,V_x,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update__overwrite_0_0,def_lhs_atom53]) ).
fof(def_lhs_atom54,axiom,
! [V_x,T_a] :
( lhs_atom54(V_x,T_a)
<=> c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_54,plain,
! [T_a,V_x] :
( lhs_atom54(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast_Osimps_I2_J_0_0,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
! [V_xs,V_x,V_n,T_a] :
( lhs_atom55(V_xs,V_x,V_n,T_a)
<=> c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_55,plain,
! [T_a,V_n,V_x,V_xs] :
( lhs_atom55(V_xs,V_x,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_replicate__app__Cons__same_0_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
! [V_xs,T_a] :
( lhs_atom56(V_xs,T_a)
<=> c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_56,plain,
! [T_a,V_xs] :
( lhs_atom56(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast__append_0_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
! [V_ys,V_xs,T_a] :
( lhs_atom57(V_ys,V_xs,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_57,plain,
! [T_a,V_xs,V_ys] :
( lhs_atom57(V_ys,V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__append_0_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
! [V_P,V_C,T_a] :
( lhs_atom58(V_P,V_C,T_a)
<=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),c_Type_Oty_ONT),c_Type_Oty_OClass(V_C))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_58,plain,
! [T_a,V_C,V_P] :
( lhs_atom58(V_P,V_C,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_widen__Class_2_0,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
! [V_xs,V_n,V_m,T_a] :
( lhs_atom59(V_xs,V_n,V_m,T_a)
<=> c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(V_m,c_List_Otake(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_59,plain,
! [T_a,V_m,V_n,V_xs] :
( lhs_atom59(V_xs,V_n,V_m,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_take__drop_0_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
! [V_xs,V_x,T_b] :
( lhs_atom60(V_xs,V_x,T_b)
<=> c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ),
inference(definition,[],[]) ).
fof(to_be_clausified_60,plain,
! [T_b,V_x,V_xs] :
( lhs_atom60(V_xs,V_x,T_b)
| $false ),
inference(fold_definition,[status(thm)],[cls_rotate__simps_1_0,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
! [V_x,V_i,T_a] :
( lhs_atom61(V_x,V_i,T_a)
<=> c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_61,plain,
! [T_a,V_i,V_x] :
( lhs_atom61(V_x,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_replicate__append__same_0_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
! [V_ys,V_y,V_xs,V_x,T_a] :
( lhs_atom62(V_ys,V_y,V_xs,V_x,T_a)
<=> c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_62,plain,
! [T_a,V_x,V_xs,V_y,V_ys] :
( lhs_atom62(V_ys,V_y,V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__update__length_0_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
! [V_ys,V_xs,V_x,T_a] :
( lhs_atom63(V_ys,V_xs,V_x,T_a)
<=> hAPP(c_List_Onth(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))) = V_x ),
inference(definition,[],[]) ).
fof(to_be_clausified_63,plain,
! [T_a,V_x,V_xs,V_ys] :
( lhs_atom63(V_ys,V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_nth__append__length_0_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
! [V_xs,T_a] :
( lhs_atom64(V_xs,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_64,plain,
! [T_a,V_xs] :
( lhs_atom64(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__tl_0_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
! [V_xs,T_a] :
( lhs_atom65(V_xs,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_65,plain,
! [T_a,V_xs] :
( lhs_atom65(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__butlast_0_0,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom66(V_xs,V_n,T_a)
<=> c_List_Otl(c_List_Otake(V_n,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_66,plain,
! [T_a,V_n,V_xs] :
( lhs_atom66(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_tl__take_0_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
! [V_xs,T_a] :
( lhs_atom67(V_xs,T_a)
<=> c_List_Obutlast(V_xs,T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_67,plain,
! [T_a,V_xs] :
( lhs_atom67(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_butlast__conv__take_0_0,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
! [V_xs,V_n,V_m,T_a] :
( lhs_atom68(V_xs,V_n,V_m,T_a)
<=> c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_68,plain,
! [T_a,V_m,V_n,V_xs] :
( lhs_atom68(V_xs,V_n,V_m,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__take_0_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom69(V_xs,V_n,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_69,plain,
! [T_a,V_n,V_xs] :
( lhs_atom69(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__drop_0_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom70(V_xs,V_x,T_a)
<=> c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_70,plain,
! [T_a,V_x,V_xs] :
( lhs_atom70(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__Cons_H_0_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom71(V_xs,V_x,T_a)
<=> c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_71,plain,
! [T_a,V_x,V_xs] :
( lhs_atom71(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__1__Cons_0_0,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
! [V_xs,T_a] :
( lhs_atom72(V_xs,T_a)
<=> c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_72,plain,
! [T_a,V_xs] :
( lhs_atom72(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_take__0_0_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
! [T_a] :
( lhs_atom73(T_a)
<=> c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_73,plain,
! [T_a] :
( lhs_atom73(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__0__conv_1_0,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
! [V_ys,V_x,T_a] :
( lhs_atom74(V_ys,V_x,T_a)
<=> ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_74,plain,
! [T_a,V_x,V_ys] :
( lhs_atom74(V_ys,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_impossible__Cons_0_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
( lhs_atom75(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
<=> c_Expr_Oexp_OVal(V_val,T_a) != c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_75,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom75(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I80_J_0_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
! [V_x] :
( lhs_atom76(V_x)
<=> c_lessequals(V_x,V_x,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_76,plain,
! [V_x] :
( lhs_atom76(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_eq__imp__le_0_0,def_lhs_atom76]) ).
fof(def_lhs_atom77,axiom,
! [V_n] :
( lhs_atom77(V_n)
<=> c_lessequals(V_n,V_n,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_77,plain,
! [V_n] :
( lhs_atom77(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_le__refl_0_0,def_lhs_atom77]) ).
fof(def_lhs_atom78,axiom,
( lhs_atom78
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_78,plain,
( lhs_atom78
| $false ),
inference(fold_definition,[status(thm)],[cls_le__0__eq_1_0,def_lhs_atom78]) ).
fof(def_lhs_atom79,axiom,
! [V_m] :
( lhs_atom79(V_m)
<=> c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ),
inference(definition,[],[]) ).
fof(to_be_clausified_79,plain,
! [V_m] :
( lhs_atom79(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_minus__nat_Odiff__0_0_0,def_lhs_atom79]) ).
fof(def_lhs_atom80,axiom,
! [V_m] :
( lhs_atom80(V_m)
<=> c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_80,plain,
! [V_m] :
( lhs_atom80(V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__self__eq__0_0_0,def_lhs_atom80]) ).
fof(def_lhs_atom81,axiom,
! [V_xs,T_a] :
( lhs_atom81(V_xs,T_a)
<=> c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_81,plain,
! [T_a,V_xs] :
( lhs_atom81(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__0_0_0,def_lhs_atom81]) ).
fof(def_lhs_atom82,axiom,
! [V_n] :
( lhs_atom82(V_n)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_82,plain,
! [V_n] :
( lhs_atom82(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__0__eq__0_0_0,def_lhs_atom82]) ).
fof(def_lhs_atom83,axiom,
! [V_n,V_m] :
( lhs_atom83(V_n,V_m)
<=> c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_83,plain,
! [V_m,V_n] :
( lhs_atom83(V_n,V_m)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__le__self_0_0,def_lhs_atom83]) ).
fof(def_lhs_atom84,axiom,
! [V_k,V_j,V_i] :
( lhs_atom84(V_k,V_j,V_i)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_84,plain,
! [V_i,V_j,V_k] :
( lhs_atom84(V_k,V_j,V_i)
| $false ),
inference(fold_definition,[status(thm)],[cls_diff__commute_0_0,def_lhs_atom84]) ).
fof(def_lhs_atom85,axiom,
! [V_n] :
( lhs_atom85(V_n)
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_85,plain,
! [V_n] :
( lhs_atom85(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_le0_0_0,def_lhs_atom85]) ).
fof(def_lhs_atom86,axiom,
! [V_val,V_list2_H,V_list1_H,V_exp_H,T_a] :
( lhs_atom86(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
<=> c_Expr_Oexp_OCall(V_exp_H,V_list1_H,V_list2_H,T_a) != c_Expr_Oexp_OVal(V_val,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_86,plain,
! [T_a,V_exp_H,V_list1_H,V_list2_H,V_val] :
( lhs_atom86(V_val,V_list2_H,V_list1_H,V_exp_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp_Osimps_I81_J_0_0,def_lhs_atom86]) ).
fof(def_lhs_atom87,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom87(V_xs,V_x,T_a)
<=> c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_87,plain,
! [T_a,V_x,V_xs] :
( lhs_atom87(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_take__1__Cons_0_0,def_lhs_atom87]) ).
fof(def_lhs_atom88,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom88(V_xs,V_x,T_a)
<=> c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_88,plain,
! [T_a,V_x,V_xs] :
( lhs_atom88(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_take__Cons_H_0_0,def_lhs_atom88]) ).
fof(def_lhs_atom89,axiom,
( lhs_atom89
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____) ),
inference(definition,[],[]) ).
fof(to_be_clausified_89,plain,
( lhs_atom89
| $false ),
inference(fold_definition,[status(thm)],[cls_wt_0_0,def_lhs_atom89]) ).
fof(def_lhs_atom90,axiom,
! [V_ys,V_xs,V_n,T_a] :
( lhs_atom90(V_ys,V_xs,V_n,T_a)
<=> c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_90,plain,
! [T_a,V_n,V_xs,V_ys] :
( lhs_atom90(V_ys,V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_take__append_0_0,def_lhs_atom90]) ).
fof(def_lhs_atom91,axiom,
! [V_ys,V_xs,V_n,T_a] :
( lhs_atom91(V_ys,V_xs,V_n,T_a)
<=> c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_91,plain,
! [T_a,V_n,V_xs,V_ys] :
( lhs_atom91(V_ys,V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__append_0_0,def_lhs_atom91]) ).
fof(def_lhs_atom92,axiom,
! [V_xs,V_i,T_a] :
( lhs_atom92(V_xs,V_i,T_a)
<=> c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_92,plain,
! [T_a,V_i,V_xs] :
( lhs_atom92(V_xs,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__drop_0_0,def_lhs_atom92]) ).
fof(def_lhs_atom93,axiom,
! [V_xs,V_i,T_a] :
( lhs_atom93(V_xs,V_i,T_a)
<=> c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_93,plain,
! [T_a,V_i,V_xs] :
( lhs_atom93(V_xs,V_i,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__take_0_0,def_lhs_atom93]) ).
fof(def_lhs_atom94,axiom,
! [V_ys,V_xs,T_a] :
( lhs_atom94(V_ys,V_xs,T_a)
<=> c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_94,plain,
! [T_a,V_xs,V_ys] :
( lhs_atom94(V_ys,V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__append_0_0,def_lhs_atom94]) ).
fof(def_lhs_atom95,axiom,
! [T_a] :
( lhs_atom95(T_a)
<=> c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_95,plain,
! [T_a] :
( lhs_atom95(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__is__Nil__conv_1_0,def_lhs_atom95]) ).
fof(def_lhs_atom96,axiom,
! [T_a] :
( lhs_atom96(T_a)
<=> c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_96,plain,
! [T_a] :
( lhs_atom96(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nil__is__append__conv_2_0,def_lhs_atom96]) ).
fof(def_lhs_atom97,axiom,
! [V_x,T_a] :
( lhs_atom97(V_x,T_a)
<=> c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_97,plain,
! [T_a,V_x] :
( lhs_atom97(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_singleton__rev__conv_1_0,def_lhs_atom97]) ).
fof(def_lhs_atom98,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom98(V_xs,V_x,T_a)
<=> c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_98,plain,
! [T_a,V_x,V_xs] :
( lhs_atom98(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Cons__eq__append__conv_4_0,def_lhs_atom98]) ).
fof(def_lhs_atom99,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom99(V_xs,V_x,T_a)
<=> V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_99,plain,
! [T_a,V_x,V_xs] :
( lhs_atom99(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__Cons__self_0_0,def_lhs_atom99]) ).
fof(def_lhs_atom100,axiom,
! [V_x,V_t,T_a] :
( lhs_atom100(V_x,V_t,T_a)
<=> c_List_Olist_OCons(V_x,V_t,T_a) != V_t ),
inference(definition,[],[]) ).
fof(to_be_clausified_100,plain,
! [T_a,V_t,V_x] :
( lhs_atom100(V_x,V_t,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__Cons__self2_0_0,def_lhs_atom100]) ).
fof(def_lhs_atom101,axiom,
( lhs_atom101
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_101,plain,
( lhs_atom101
| $false ),
inference(fold_definition,[status(thm)],[cls_wte_0_0,def_lhs_atom101]) ).
fof(def_lhs_atom102,axiom,
! [V_ys,V_y,T_a] :
( lhs_atom102(V_ys,V_y,T_a)
<=> c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_102,plain,
! [T_a,V_y,V_ys] :
( lhs_atom102(V_ys,V_y,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__eq__Cons__iff_1_0,def_lhs_atom102]) ).
fof(def_lhs_atom103,axiom,
! [V_xs,V_n,T_a] :
( lhs_atom103(V_xs,V_n,T_a)
<=> c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_103,plain,
! [T_a,V_n,V_xs] :
( lhs_atom103(V_xs,V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__take__drop__id_0_0,def_lhs_atom103]) ).
fof(def_lhs_atom104,axiom,
! [V_list_H,V_a_H,T_a] :
( lhs_atom104(V_list_H,V_a_H,T_a)
<=> c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_104,plain,
! [T_a,V_a_H,V_list_H] :
( lhs_atom104(V_list_H,V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list_Osimps_I3_J_0_0,def_lhs_atom104]) ).
fof(def_lhs_atom105,axiom,
! [V_xa,V_x,T_a] :
( lhs_atom105(V_xa,V_x,T_a)
<=> c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_105,plain,
! [T_a,V_x,V_xa] :
( lhs_atom105(V_xa,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_neq__Nil__conv_1_0,def_lhs_atom105]) ).
fof(def_lhs_atom106,axiom,
! [V_zs,V_xs1,V_x,T_a] :
( lhs_atom106(V_zs,V_xs1,V_x,T_a)
<=> c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_106,plain,
! [T_a,V_x,V_xs1,V_zs] :
( lhs_atom106(V_zs,V_xs1,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Cons__eq__appendI_0_0,def_lhs_atom106]) ).
fof(def_lhs_atom107,axiom,
! [V_zs,V_xa,V_x,T_a] :
( lhs_atom107(V_zs,V_xa,V_x,T_a)
<=> c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_107,plain,
! [T_a,V_x,V_xa,V_zs] :
( lhs_atom107(V_zs,V_xa,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Cons__eq__append__conv_5_0,def_lhs_atom107]) ).
fof(def_lhs_atom108,axiom,
! [V_h] :
( lhs_atom108(V_h)
<=> c_Objects_Ohext(V_h,V_h) ),
inference(definition,[],[]) ).
fof(to_be_clausified_108,plain,
! [V_h] :
( lhs_atom108(V_h)
| $false ),
inference(fold_definition,[status(thm)],[cls_hext__refl_0_0,def_lhs_atom108]) ).
fof(def_lhs_atom109,axiom,
! [V_ys,V_xs,T_a] :
( lhs_atom109(V_ys,V_xs,T_a)
<=> c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) = V_ys ),
inference(definition,[],[]) ).
fof(to_be_clausified_109,plain,
! [T_a,V_xs,V_ys] :
( lhs_atom109(V_ys,V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__conv__conj_1_0,def_lhs_atom109]) ).
fof(def_lhs_atom110,axiom,
! [V_ys,V_xs,V_x,T_a] :
( lhs_atom110(V_ys,V_xs,V_x,T_a)
<=> c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_110,plain,
! [T_a,V_x,V_xs,V_ys] :
( lhs_atom110(V_ys,V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__Cons_0_0,def_lhs_atom110]) ).
fof(def_lhs_atom111,axiom,
! [V_zs,V_xa,V_x,T_a] :
( lhs_atom111(V_zs,V_xa,V_x,T_a)
<=> c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_111,plain,
! [T_a,V_x,V_xa,V_zs] :
( lhs_atom111(V_zs,V_xa,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__Cons__conv_5_0,def_lhs_atom111]) ).
fof(def_lhs_atom112,axiom,
! [V_x,T_a] :
( lhs_atom112(V_x,T_a)
<=> c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_112,plain,
! [T_a,V_x] :
( lhs_atom112(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__singleton__conv_1_0,def_lhs_atom112]) ).
fof(def_lhs_atom113,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom113(V_xs,V_x,T_a)
<=> c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_113,plain,
! [T_a,V_x,V_xs] :
( lhs_atom113(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev_Osimps_I2_J_0_0,def_lhs_atom113]) ).
fof(def_lhs_atom114,axiom,
! [V_P,T_a] :
( lhs_atom114(V_P,T_a)
<=> c_COMBI(V_P,T_a) = V_P ),
inference(definition,[],[]) ).
fof(to_be_clausified_114,plain,
! [T_a,V_P] :
( lhs_atom114(V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_COMBI__def_0_0,def_lhs_atom114]) ).
fof(def_lhs_atom115,axiom,
! [V_n,T_a] :
( lhs_atom115(V_n,T_a)
<=> c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_115,plain,
! [T_a,V_n] :
( lhs_atom115(V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_take__eq__Nil_2_0,def_lhs_atom115]) ).
fof(def_lhs_atom116,axiom,
! [V_xs,T_a] :
( lhs_atom116(V_xs,T_a)
<=> c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_116,plain,
! [T_a,V_xs] :
( lhs_atom116(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__Nil2_0_0,def_lhs_atom116]) ).
fof(def_lhs_atom117,axiom,
! [V_x,T_a] :
( lhs_atom117(V_x,T_a)
<=> c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) = V_x ),
inference(definition,[],[]) ).
fof(to_be_clausified_117,plain,
! [T_a,V_x] :
( lhs_atom117(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_eq__Nil__appendI_0_0,def_lhs_atom117]) ).
fof(to_be_clausified_118,plain,
! [T_a,V_xs] :
( lhs_atom116(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_self__append__conv_1_0,def_lhs_atom116]) ).
fof(def_lhs_atom118,axiom,
! [V_ys,T_a] :
( lhs_atom118(V_ys,T_a)
<=> c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ),
inference(definition,[],[]) ).
fof(to_be_clausified_119,plain,
! [T_a,V_ys] :
( lhs_atom118(V_ys,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__Nil_0_0,def_lhs_atom118]) ).
fof(to_be_clausified_120,plain,
! [T_a,V_ys] :
( lhs_atom118(V_ys,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_self__append__conv2_1_0,def_lhs_atom118]) ).
fof(def_lhs_atom119,axiom,
! [V_xs,T_a] :
( lhs_atom119(V_xs,T_a)
<=> c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_121,plain,
! [T_a,V_xs] :
( lhs_atom119(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__swap_0_0,def_lhs_atom119]) ).
fof(def_lhs_atom120,axiom,
! [V_ys,T_a] :
( lhs_atom120(V_ys,T_a)
<=> c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ),
inference(definition,[],[]) ).
fof(to_be_clausified_122,plain,
! [T_a,V_ys] :
( lhs_atom120(V_ys,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__swap_1_0,def_lhs_atom120]) ).
fof(to_be_clausified_123,plain,
! [T_a,V_xs] :
( lhs_atom119(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rev__rev__ident_0_0,def_lhs_atom119]) ).
fof(def_lhs_atom121,axiom,
! [V_ys,V_xs,T_a] :
( lhs_atom121(V_ys,V_xs,T_a)
<=> c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) = V_xs ),
inference(definition,[],[]) ).
fof(to_be_clausified_124,plain,
! [T_a,V_xs,V_ys] :
( lhs_atom121(V_ys,V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__conv__conj_0_0,def_lhs_atom121]) ).
fof(def_lhs_atom122,axiom,
! [V_n,T_a] :
( lhs_atom122(V_n,T_a)
<=> c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_125,plain,
! [T_a,V_n] :
( lhs_atom122(V_n,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_drop__Nil_0_0,def_lhs_atom122]) ).
fof(def_lhs_atom123,axiom,
! [V_list_H,V_a_H,T_a] :
( lhs_atom123(V_list_H,V_a_H,T_a)
<=> c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_126,plain,
! [T_a,V_a_H,V_list_H] :
( lhs_atom123(V_list_H,V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list_Osimps_I2_J_0_0,def_lhs_atom123]) ).
fof(def_lhs_atom124,axiom,
( lhs_atom124
<=> c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_127,plain,
( lhs_atom124
| $false ),
inference(fold_definition,[status(thm)],[cls_conf_0_0,def_lhs_atom124]) ).
fof(def_lhs_atom125,axiom,
! [V_xs,V_x,T_a] :
( lhs_atom125(V_xs,V_x,T_a)
<=> c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_128,plain,
! [T_a,V_x,V_xs] :
( lhs_atom125(V_xs,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__Cons__conv_4_0,def_lhs_atom125]) ).
fof(def_lhs_atom126,axiom,
! [T_a] :
( lhs_atom126(T_a)
<=> c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_129,plain,
! [T_a] :
( lhs_atom126(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Nil__is__rev__conv_1_0,def_lhs_atom126]) ).
fof(def_lhs_atom127,axiom,
! [V_xs,T_a] :
( lhs_atom127(V_xs,T_a)
<=> c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_130,plain,
! [T_a,V_xs] :
( lhs_atom127(V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_length__rev_0_0,def_lhs_atom127]) ).
fof(def_lhs_atom128,axiom,
! [T_a] :
( lhs_atom128(T_a)
<=> c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_131,plain,
! [T_a] :
( lhs_atom128(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__is__Nil__conv_2_0,def_lhs_atom128]) ).
fof(def_lhs_atom129,axiom,
! [V_zs,V_ys,V_xs,T_a] :
( lhs_atom129(V_zs,V_ys,V_xs,T_a)
<=> c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_132,plain,
! [T_a,V_xs,V_ys,V_zs] :
( lhs_atom129(V_zs,V_ys,V_xs,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__assoc_0_0,def_lhs_atom129]) ).
fof(def_lhs_atom130,axiom,
! [V_xs1,V_xs,V_us,T_a] :
( lhs_atom130(V_xs1,V_xs,V_us,T_a)
<=> c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_133,plain,
! [T_a,V_us,V_xs,V_xs1] :
( lhs_atom130(V_xs1,V_xs,V_us,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__appendI_0_0,def_lhs_atom130]) ).
fof(def_lhs_atom131,axiom,
! [V_zs,V_ys,V_x,T_a] :
( lhs_atom131(V_zs,V_ys,V_x,T_a)
<=> c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_134,plain,
! [T_a,V_x,V_ys,V_zs] :
( lhs_atom131(V_zs,V_ys,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__append__conv2_4_0,def_lhs_atom131]) ).
fof(def_lhs_atom132,axiom,
! [V_xs,V_x,V_ts,T_a] :
( lhs_atom132(V_xs,V_x,V_ts,T_a)
<=> c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_135,plain,
! [T_a,V_ts,V_x,V_xs] :
( lhs_atom132(V_xs,V_x,V_ts,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_append__eq__append__conv2_5_0,def_lhs_atom132]) ).
fof(def_lhs_atom133,axiom,
! [V_x,T_a] :
( lhs_atom133(V_x,T_a)
<=> c_List_Olist__all2(c_fequal(T_a),V_x,V_x,T_a,T_a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_136,plain,
! [T_a,V_x] :
( lhs_atom133(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__all2__eq_0_0,def_lhs_atom133]) ).
fof(def_lhs_atom134,axiom,
! [V_P,T_b,T_a] :
( lhs_atom134(V_P,T_b,T_a)
<=> c_List_Olist__all2(V_P,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_b),T_a,T_b) ),
inference(definition,[],[]) ).
fof(to_be_clausified_137,plain,
! [T_a,T_b,V_P] :
( lhs_atom134(V_P,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_list__all2__Nil_1_0,def_lhs_atom134]) ).
fof(def_lhs_atom135,axiom,
( lhs_atom135
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_138,plain,
( lhs_atom135
| $false ),
inference(fold_definition,[status(thm)],[cls_calculation_I5_J_0_0,def_lhs_atom135]) ).
fof(def_lhs_atom136,axiom,
( lhs_atom136
<=> c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Us____,v_Ts____,tc_Type_Oty,tc_Type_Oty) ),
inference(definition,[],[]) ).
fof(to_be_clausified_139,plain,
( lhs_atom136
| $false ),
inference(fold_definition,[status(thm)],[cls_calculation_I4_J_0_0,def_lhs_atom136]) ).
fof(def_lhs_atom137,axiom,
! [V_T,V_P,T_a] :
( lhs_atom137(V_T,V_P,T_a)
<=> hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_140,plain,
! [T_a,V_P,V_T] :
( lhs_atom137(V_T,V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_widen__refl_0_0,def_lhs_atom137]) ).
fof(def_lhs_atom138,axiom,
( lhs_atom138
<=> c_COMBI(v_P,t_a) = v_P ),
inference(definition,[],[]) ).
fof(to_be_clausified_141,plain,
( lhs_atom138
| $false ),
inference(fold_definition,[status(thm)],[cls_COMBI__def__raw_0_0,def_lhs_atom138]) ).
fof(def_lhs_atom139,axiom,
! [V_xs,V_P,T_a] :
( lhs_atom139(V_xs,V_P,T_a)
<=> c_List_Olist__all2(c_TypeRel_Owiden(V_P,T_a),V_xs,V_xs,tc_Type_Oty,tc_Type_Oty) ),
inference(definition,[],[]) ).
fof(to_be_clausified_142,plain,
! [T_a,V_P,V_xs] :
( lhs_atom139(V_xs,V_P,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_widens__refl_0_0,def_lhs_atom139]) ).
fof(def_lhs_atom140,axiom,
( lhs_atom140
<=> c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,v_esa____,v_Us____) ),
inference(definition,[],[]) ).
fof(to_be_clausified_143,plain,
( lhs_atom140
| $false ),
inference(fold_definition,[status(thm)],[cls_wtes_0_0,def_lhs_atom140]) ).
fof(def_lhs_atom141,axiom,
( lhs_atom141
<=> c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty) ),
inference(definition,[],[]) ).
fof(to_be_clausified_144,plain,
( lhs_atom141
| $false ),
inference(fold_definition,[status(thm)],[cls_CHAINED_1_0,def_lhs_atom141]) ).
fof(def_lhs_atom142,axiom,
( lhs_atom142
<=> c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_145,plain,
( lhs_atom142
| $false ),
inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom142]) ).
fof(def_lhs_atom143,axiom,
( lhs_atom143
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_146,plain,
( lhs_atom143
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom143]) ).
fof(def_lhs_atom144,axiom,
( lhs_atom144
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_147,plain,
( lhs_atom144
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom144]) ).
fof(def_lhs_atom145,axiom,
( lhs_atom145
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_148,plain,
( lhs_atom145
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom145]) ).
fof(def_lhs_atom146,axiom,
( lhs_atom146
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_149,plain,
( lhs_atom146
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom146]) ).
fof(def_lhs_atom147,axiom,
( lhs_atom147
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_150,plain,
( lhs_atom147
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom147]) ).
fof(def_lhs_atom148,axiom,
( lhs_atom148
<=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_151,plain,
( lhs_atom148
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom148]) ).
fof(def_lhs_atom149,axiom,
( lhs_atom149
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_152,plain,
( lhs_atom149
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom_0,def_lhs_atom149]) ).
fof(def_lhs_atom150,axiom,
( lhs_atom150
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_153,plain,
( lhs_atom150
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom150]) ).
fof(def_lhs_atom151,axiom,
( lhs_atom151
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_154,plain,
( lhs_atom151
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom151]) ).
fof(def_lhs_atom152,axiom,
( lhs_atom152
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_155,plain,
( lhs_atom152
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom152]) ).
fof(def_lhs_atom153,axiom,
( lhs_atom153
<=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_156,plain,
( lhs_atom153
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom153]) ).
fof(def_lhs_atom154,axiom,
( lhs_atom154
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_157,plain,
( lhs_atom154
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__1_0,def_lhs_atom154]) ).
fof(def_lhs_atom155,axiom,
( lhs_atom155
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_158,plain,
( lhs_atom155
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__0_0,def_lhs_atom155]) ).
fof(def_lhs_atom156,axiom,
( lhs_atom156
<=> class_Ring__and__Field_Omult__zero(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_159,plain,
( lhs_atom156
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero_0,def_lhs_atom156]) ).
fof(def_lhs_atom157,axiom,
( lhs_atom157
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_160,plain,
( lhs_atom157
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__mult_0,def_lhs_atom157]) ).
fof(def_lhs_atom158,axiom,
( lhs_atom158
<=> class_OrderedGroup_Omonoid__add(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_161,plain,
( lhs_atom158
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add_0,def_lhs_atom158]) ).
fof(def_lhs_atom159,axiom,
( lhs_atom159
<=> class_Nat_Osemiring__char__0(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_162,plain,
( lhs_atom159
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Nat_Osemiring__char__0_0,def_lhs_atom159]) ).
fof(def_lhs_atom160,axiom,
( lhs_atom160
<=> class_Orderings_Opreorder(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_163,plain,
( lhs_atom160
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom160]) ).
fof(def_lhs_atom161,axiom,
( lhs_atom161
<=> class_Orderings_Olinorder(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_164,plain,
( lhs_atom161
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom161]) ).
fof(def_lhs_atom162,axiom,
( lhs_atom162
<=> class_Orderings_Oorder(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_165,plain,
( lhs_atom162
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom162]) ).
fof(def_lhs_atom163,axiom,
( lhs_atom163
<=> class_Power_Opower(tc_nat) ),
inference(definition,[],[]) ).
fof(to_be_clausified_166,plain,
( lhs_atom163
| $false ),
inference(fold_definition,[status(thm)],[clsarity_nat__Power_Opower_0,def_lhs_atom163]) ).
fof(def_lhs_atom164,axiom,
( lhs_atom164
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_167,plain,
( lhs_atom164
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom164]) ).
fof(def_lhs_atom165,axiom,
( lhs_atom165
<=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_168,plain,
( lhs_atom165
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors_0,def_lhs_atom165]) ).
fof(def_lhs_atom166,axiom,
( lhs_atom166
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_169,plain,
( lhs_atom166
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom166]) ).
fof(def_lhs_atom167,axiom,
( lhs_atom167
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_170,plain,
( lhs_atom167
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom167]) ).
fof(def_lhs_atom168,axiom,
( lhs_atom168
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_171,plain,
( lhs_atom168
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom168]) ).
fof(def_lhs_atom169,axiom,
( lhs_atom169
<=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_172,plain,
( lhs_atom169
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom169]) ).
fof(def_lhs_atom170,axiom,
( lhs_atom170
<=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_173,plain,
( lhs_atom170
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom170]) ).
fof(def_lhs_atom171,axiom,
( lhs_atom171
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_174,plain,
( lhs_atom171
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom171]) ).
fof(def_lhs_atom172,axiom,
( lhs_atom172
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_175,plain,
( lhs_atom172
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom172]) ).
fof(def_lhs_atom173,axiom,
( lhs_atom173
<=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_176,plain,
( lhs_atom173
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semidom_0,def_lhs_atom173]) ).
fof(def_lhs_atom174,axiom,
( lhs_atom174
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_177,plain,
( lhs_atom174
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom174]) ).
fof(def_lhs_atom175,axiom,
( lhs_atom175
<=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_178,plain,
( lhs_atom175
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom175]) ).
fof(def_lhs_atom176,axiom,
( lhs_atom176
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_179,plain,
( lhs_atom176
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom176]) ).
fof(def_lhs_atom177,axiom,
( lhs_atom177
<=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_180,plain,
( lhs_atom177
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom177]) ).
fof(def_lhs_atom178,axiom,
( lhs_atom178
<=> class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_181,plain,
( lhs_atom178
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Osemiring__1_0,def_lhs_atom178]) ).
fof(def_lhs_atom179,axiom,
( lhs_atom179
<=> class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_182,plain,
( lhs_atom179
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Osemiring__0_0,def_lhs_atom179]) ).
fof(def_lhs_atom180,axiom,
( lhs_atom180
<=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_183,plain,
( lhs_atom180
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__group__add_0,def_lhs_atom180]) ).
fof(def_lhs_atom181,axiom,
( lhs_atom181
<=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_184,plain,
( lhs_atom181
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__zero_0,def_lhs_atom181]) ).
fof(def_lhs_atom182,axiom,
( lhs_atom182
<=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_185,plain,
( lhs_atom182
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__mult_0,def_lhs_atom182]) ).
fof(def_lhs_atom183,axiom,
( lhs_atom183
<=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_186,plain,
( lhs_atom183
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__add_0,def_lhs_atom183]) ).
fof(def_lhs_atom184,axiom,
( lhs_atom184
<=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_187,plain,
( lhs_atom184
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ogroup__add_0,def_lhs_atom184]) ).
fof(def_lhs_atom185,axiom,
( lhs_atom185
<=> class_Ring__and__Field_Oring__1(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_188,plain,
( lhs_atom185
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring__1_0,def_lhs_atom185]) ).
fof(def_lhs_atom186,axiom,
( lhs_atom186
<=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_189,plain,
( lhs_atom186
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oidom_0,def_lhs_atom186]) ).
fof(def_lhs_atom187,axiom,
( lhs_atom187
<=> class_Nat_Osemiring__char__0(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_190,plain,
( lhs_atom187
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Nat_Osemiring__char__0_0,def_lhs_atom187]) ).
fof(def_lhs_atom188,axiom,
( lhs_atom188
<=> class_Orderings_Opreorder(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_191,plain,
( lhs_atom188
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Orderings_Opreorder_0,def_lhs_atom188]) ).
fof(def_lhs_atom189,axiom,
( lhs_atom189
<=> class_Orderings_Olinorder(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_192,plain,
( lhs_atom189
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Orderings_Olinorder_0,def_lhs_atom189]) ).
fof(def_lhs_atom190,axiom,
( lhs_atom190
<=> class_Orderings_Oorder(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_193,plain,
( lhs_atom190
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Orderings_Oorder_0,def_lhs_atom190]) ).
fof(def_lhs_atom191,axiom,
( lhs_atom191
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_194,plain,
( lhs_atom191
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Int_Oring__char__0_0,def_lhs_atom191]) ).
fof(def_lhs_atom192,axiom,
( lhs_atom192
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_195,plain,
( lhs_atom192
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Int_Onumber__ring_0,def_lhs_atom192]) ).
fof(def_lhs_atom193,axiom,
( lhs_atom193
<=> class_Power_Opower(tc_Int_Oint) ),
inference(definition,[],[]) ).
fof(to_be_clausified_196,plain,
( lhs_atom193
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Power_Opower_0,def_lhs_atom193]) ).
fof(def_lhs_atom194,axiom,
! [V_x,T_a] :
( lhs_atom194(V_x,T_a)
<=> hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_197,plain,
! [T_a,V_x] :
( lhs_atom194(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom194]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X20,X21,X22,X23,X3] :
( lhs_atom86(X20,X21,X22,X23,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_1,axiom,
! [X20,X21,X22,X23,X3] :
( lhs_atom75(X20,X21,X22,X23,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_2,axiom,
! [X16,X6,X1,X4,X3] :
( lhs_atom62(X16,X6,X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_3,axiom,
! [X6,X1,X4,X10,X3] :
( lhs_atom53(X6,X1,X4,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_4,axiom,
! [X1,X4,X31,X3] :
( lhs_atom132(X1,X4,X31,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_135) ).
fof(c_0_5,axiom,
! [X27,X16,X4,X3] :
( lhs_atom131(X27,X16,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_134) ).
fof(c_0_6,axiom,
! [X28,X1,X30,X3] :
( lhs_atom130(X28,X1,X30,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_133) ).
fof(c_0_7,axiom,
! [X27,X16,X1,X3] :
( lhs_atom129(X27,X16,X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_132) ).
fof(c_0_8,axiom,
! [X27,X26,X4,X3] :
( lhs_atom111(X27,X26,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_111) ).
fof(c_0_9,axiom,
! [X16,X1,X4,X3] :
( lhs_atom110(X16,X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_10,axiom,
! [X27,X26,X4,X3] :
( lhs_atom107(X27,X26,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_11,axiom,
! [X27,X28,X4,X3] :
( lhs_atom106(X27,X28,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_12,axiom,
! [X16,X1,X2,X3] :
( lhs_atom91(X16,X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_13,axiom,
! [X16,X1,X2,X3] :
( lhs_atom90(X16,X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_14,axiom,
! [X1,X2,X7,X3] :
( lhs_atom68(X1,X2,X7,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_15,axiom,
! [X16,X1,X4,X3] :
( lhs_atom63(X16,X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_16,axiom,
! [X1,X2,X7,X3] :
( lhs_atom59(X1,X2,X7,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_17,axiom,
! [X1,X4,X2,X3] :
( lhs_atom55(X1,X4,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_18,axiom,
! [X16,X1,X2,X3] :
( lhs_atom51(X16,X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_19,axiom,
! [X4,X2,X7,X3] :
( lhs_atom45(X4,X2,X7,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_20,axiom,
! [X1,X2,X7,X3] :
( lhs_atom44(X1,X2,X7,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_21,axiom,
! [X4,X2,X8,X3] :
( lhs_atom43(X4,X2,X8,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_22,axiom,
! [X1,X2,X7,X3] :
( lhs_atom30(X1,X2,X7,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_23,axiom,
! [X1,X4,X10,X3] :
( lhs_atom24(X1,X4,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_24,axiom,
! [X6,X1,X4,X3] :
( lhs_atom23(X6,X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_25,axiom,
! [X4,X8,X10,X3] :
( lhs_atom20(X4,X8,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_26,axiom,
! [X1,X4,X2,X3] :
( lhs_atom18(X1,X4,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_27,axiom,
! [X6,X4,X3] :
( lhs_atom19(X6,X4,X3)
| c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X4,X3) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X6,X3) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_28,axiom,
! [X1,X17,X3] :
( lhs_atom139(X1,X17,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_142) ).
fof(c_0_29,axiom,
! [X32,X17,X3] :
( lhs_atom137(X32,X17,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_140) ).
fof(c_0_30,axiom,
! [X17,X19,X3] :
( lhs_atom134(X17,X19,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_137) ).
fof(c_0_31,axiom,
! [X1,X4,X3] :
( lhs_atom125(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_128) ).
fof(c_0_32,axiom,
! [X11,X25,X3] :
( lhs_atom123(X11,X25,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_126) ).
fof(c_0_33,axiom,
! [X16,X1,X3] :
( lhs_atom121(X16,X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_124) ).
fof(c_0_34,axiom,
! [X1,X4,X3] :
( lhs_atom113(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_113) ).
fof(c_0_35,axiom,
! [X16,X1,X3] :
( lhs_atom109(X16,X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_36,axiom,
! [X26,X4,X3] :
( lhs_atom105(X26,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_37,axiom,
! [X11,X25,X3] :
( lhs_atom104(X11,X25,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_38,axiom,
! [X1,X2,X3] :
( lhs_atom103(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_39,axiom,
! [X16,X6,X3] :
( lhs_atom102(X16,X6,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_40,axiom,
! [X4,X24,X3] :
( lhs_atom100(X4,X24,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_41,axiom,
! [X1,X4,X3] :
( lhs_atom99(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_42,axiom,
! [X1,X4,X3] :
( lhs_atom98(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_43,axiom,
! [X16,X1,X3] :
( lhs_atom94(X16,X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_44,axiom,
! [X1,X10,X3] :
( lhs_atom93(X1,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_45,axiom,
! [X1,X10,X3] :
( lhs_atom92(X1,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_46,axiom,
! [X1,X4,X3] :
( lhs_atom88(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_47,axiom,
! [X1,X4,X3] :
( lhs_atom87(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_48,axiom,
! [X8,X9,X10] :
( lhs_atom84(X8,X9,X10)
| ~ $true ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_49,axiom,
! [X16,X4,X3] :
( lhs_atom74(X16,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_50,axiom,
! [X1,X4,X3] :
( lhs_atom71(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_51,axiom,
! [X1,X4,X3] :
( lhs_atom70(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_52,axiom,
! [X1,X2,X3] :
( lhs_atom69(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_53,axiom,
! [X1,X2,X3] :
( lhs_atom66(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_54,axiom,
! [X4,X10,X3] :
( lhs_atom61(X4,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_55,axiom,
! [X1,X4,X19] :
( lhs_atom60(X1,X4,X19)
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_56,axiom,
! [X17,X18,X3] :
( lhs_atom58(X17,X18,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_57,axiom,
! [X16,X1,X3] :
( lhs_atom57(X16,X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_58,axiom,
! [X1,X2,X3] :
( lhs_atom52(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_59,axiom,
! [X1,X10,X3] :
( lhs_atom47(X1,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_60,axiom,
! [X4,X2,X3] :
( lhs_atom46(X4,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_61,axiom,
! [X1,X4,X3] :
( lhs_atom42(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_62,axiom,
! [X1,X2,X3] :
( lhs_atom37(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_63,axiom,
! [X4,X15,X3] :
( lhs_atom36(X4,X15,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_64,axiom,
! [X13,X14,X3] :
( lhs_atom35(X13,X14,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_65,axiom,
! [X1,X4,X3] :
( lhs_atom34(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_66,axiom,
! [X4,X2,X3] :
( lhs_atom33(X4,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_67,axiom,
! [X1,X4,X3] :
( lhs_atom31(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_68,axiom,
! [X1,X2,X3] :
( lhs_atom17(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_69,axiom,
! [X12,X10,X3] :
( lhs_atom16(X12,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_70,axiom,
! [X6,X10,X3] :
( lhs_atom15(X6,X10,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_71,axiom,
! [X4,X8,X3] :
( lhs_atom14(X4,X8,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_72,axiom,
! [X2,X7,X8] :
( lhs_atom12(X2,X7,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_73,axiom,
! [X2,X7,X8] :
( lhs_atom11(X2,X7,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_74,axiom,
! [X1,X2,X3] :
( lhs_atom10(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_75,axiom,
! [X1,X2,X3] :
( lhs_atom9(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_76,axiom,
! [X8,X9,X10] :
( lhs_atom8(X8,X9,X10)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_77,axiom,
! [X2,X7,X8] :
( lhs_atom6(X2,X7,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_78,axiom,
! [X5,X6,X4] :
( lhs_atom5(X5,X6,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_79,axiom,
! [X1,X4,X3] :
( lhs_atom4(X1,X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_80,axiom,
! [X1,X2,X3] :
( lhs_atom1(X1,X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_81,axiom,
! [X4,X3] :
( lhs_atom194(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_197) ).
fof(c_0_82,axiom,
! [X4,X3] :
( lhs_atom133(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_136) ).
fof(c_0_83,axiom,
! [X1,X3] :
( lhs_atom127(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_130) ).
fof(c_0_84,axiom,
! [X2,X3] :
( lhs_atom122(X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_125) ).
fof(c_0_85,axiom,
! [X1,X3] :
( lhs_atom119(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_123) ).
fof(c_0_86,axiom,
! [X16,X3] :
( lhs_atom120(X16,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_122) ).
fof(c_0_87,axiom,
! [X1,X3] :
( lhs_atom119(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_121) ).
fof(c_0_88,axiom,
! [X16,X3] :
( lhs_atom118(X16,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_120) ).
fof(c_0_89,axiom,
! [X16,X3] :
( lhs_atom118(X16,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_119) ).
fof(c_0_90,axiom,
! [X1,X3] :
( lhs_atom116(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_118) ).
fof(c_0_91,axiom,
! [X4,X3] :
( lhs_atom117(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_117) ).
fof(c_0_92,axiom,
! [X1,X3] :
( lhs_atom116(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_116) ).
fof(c_0_93,axiom,
! [X2,X3] :
( lhs_atom115(X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_115) ).
fof(c_0_94,axiom,
! [X17,X3] :
( lhs_atom114(X17,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_114) ).
fof(c_0_95,axiom,
! [X4,X3] :
( lhs_atom112(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_112) ).
fof(c_0_96,axiom,
! [X4,X3] :
( lhs_atom97(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_97,axiom,
! [X2,X7] :
( lhs_atom83(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_98,axiom,
! [X1,X3] :
( lhs_atom81(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_99,axiom,
! [X1,X3] :
( lhs_atom72(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_100,axiom,
! [X1,X3] :
( lhs_atom67(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_101,axiom,
! [X1,X3] :
( lhs_atom65(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_102,axiom,
! [X1,X3] :
( lhs_atom64(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_103,axiom,
! [X1,X3] :
( lhs_atom56(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_104,axiom,
! [X4,X3] :
( lhs_atom54(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_105,axiom,
! [X4,X7] :
( lhs_atom41(X4,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_106,axiom,
! [X2,X7] :
( lhs_atom40(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_107,axiom,
! [X2,X7] :
( lhs_atom39(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_108,axiom,
! [X1,X3] :
( lhs_atom38(X1,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_109,axiom,
! [X4,X3] :
( lhs_atom21(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_110,axiom,
! [X2,X7] :
( lhs_atom32(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_111,axiom,
! [X2,X7] :
( lhs_atom29(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_112,axiom,
! [X2,X7] :
( lhs_atom28(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_113,axiom,
! [X2,X3] :
( lhs_atom22(X2,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_114,axiom,
! [X4,X3] :
( lhs_atom21(X4,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_115,axiom,
! [X2,X7] :
( lhs_atom7(X2,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_116,axiom,
! [X3] :
( lhs_atom128(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_131) ).
fof(c_0_117,axiom,
! [X3] :
( lhs_atom126(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_129) ).
fof(c_0_118,axiom,
! [X29] :
( lhs_atom108(X29)
| ~ $true ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_119,axiom,
! [X3] :
( lhs_atom96(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_120,axiom,
! [X3] :
( lhs_atom95(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_121,axiom,
! [X2] :
( lhs_atom85(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_122,axiom,
! [X2] :
( lhs_atom82(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_123,axiom,
! [X7] :
( lhs_atom80(X7)
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_124,axiom,
! [X7] :
( lhs_atom79(X7)
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_125,axiom,
! [X2] :
( lhs_atom77(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_126,axiom,
! [X4] :
( lhs_atom76(X4)
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_127,axiom,
! [X3] :
( lhs_atom73(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_128,axiom,
! [X3] :
( lhs_atom50(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_129,axiom,
! [X11] :
( lhs_atom49(X11)
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_130,axiom,
! [X3] :
( lhs_atom48(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_131,axiom,
! [X7] :
( lhs_atom27(X7)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_132,axiom,
! [X2] :
( lhs_atom26(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_133,axiom,
! [X4] :
( lhs_atom25(X4)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_134,axiom,
! [X11] :
( lhs_atom13(X11)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_135,axiom,
! [X3] :
( lhs_atom2(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_136,axiom,
( lhs_atom193
| ~ $true ),
file('<stdin>',to_be_clausified_196) ).
fof(c_0_137,axiom,
( lhs_atom192
| ~ $true ),
file('<stdin>',to_be_clausified_195) ).
fof(c_0_138,axiom,
( lhs_atom191
| ~ $true ),
file('<stdin>',to_be_clausified_194) ).
fof(c_0_139,axiom,
( lhs_atom190
| ~ $true ),
file('<stdin>',to_be_clausified_193) ).
fof(c_0_140,axiom,
( lhs_atom189
| ~ $true ),
file('<stdin>',to_be_clausified_192) ).
fof(c_0_141,axiom,
( lhs_atom188
| ~ $true ),
file('<stdin>',to_be_clausified_191) ).
fof(c_0_142,axiom,
( lhs_atom187
| ~ $true ),
file('<stdin>',to_be_clausified_190) ).
fof(c_0_143,axiom,
( lhs_atom186
| ~ $true ),
file('<stdin>',to_be_clausified_189) ).
fof(c_0_144,axiom,
( lhs_atom185
| ~ $true ),
file('<stdin>',to_be_clausified_188) ).
fof(c_0_145,axiom,
( lhs_atom184
| ~ $true ),
file('<stdin>',to_be_clausified_187) ).
fof(c_0_146,axiom,
( lhs_atom183
| ~ $true ),
file('<stdin>',to_be_clausified_186) ).
fof(c_0_147,axiom,
( lhs_atom182
| ~ $true ),
file('<stdin>',to_be_clausified_185) ).
fof(c_0_148,axiom,
( lhs_atom181
| ~ $true ),
file('<stdin>',to_be_clausified_184) ).
fof(c_0_149,axiom,
( lhs_atom180
| ~ $true ),
file('<stdin>',to_be_clausified_183) ).
fof(c_0_150,axiom,
( lhs_atom179
| ~ $true ),
file('<stdin>',to_be_clausified_182) ).
fof(c_0_151,axiom,
( lhs_atom178
| ~ $true ),
file('<stdin>',to_be_clausified_181) ).
fof(c_0_152,axiom,
( lhs_atom177
| ~ $true ),
file('<stdin>',to_be_clausified_180) ).
fof(c_0_153,axiom,
( lhs_atom176
| ~ $true ),
file('<stdin>',to_be_clausified_179) ).
fof(c_0_154,axiom,
( lhs_atom175
| ~ $true ),
file('<stdin>',to_be_clausified_178) ).
fof(c_0_155,axiom,
( lhs_atom174
| ~ $true ),
file('<stdin>',to_be_clausified_177) ).
fof(c_0_156,axiom,
( lhs_atom173
| ~ $true ),
file('<stdin>',to_be_clausified_176) ).
fof(c_0_157,axiom,
( lhs_atom172
| ~ $true ),
file('<stdin>',to_be_clausified_175) ).
fof(c_0_158,axiom,
( lhs_atom171
| ~ $true ),
file('<stdin>',to_be_clausified_174) ).
fof(c_0_159,axiom,
( lhs_atom170
| ~ $true ),
file('<stdin>',to_be_clausified_173) ).
fof(c_0_160,axiom,
( lhs_atom169
| ~ $true ),
file('<stdin>',to_be_clausified_172) ).
fof(c_0_161,axiom,
( lhs_atom168
| ~ $true ),
file('<stdin>',to_be_clausified_171) ).
fof(c_0_162,axiom,
( lhs_atom167
| ~ $true ),
file('<stdin>',to_be_clausified_170) ).
fof(c_0_163,axiom,
( lhs_atom166
| ~ $true ),
file('<stdin>',to_be_clausified_169) ).
fof(c_0_164,axiom,
( lhs_atom165
| ~ $true ),
file('<stdin>',to_be_clausified_168) ).
fof(c_0_165,axiom,
( lhs_atom164
| ~ $true ),
file('<stdin>',to_be_clausified_167) ).
fof(c_0_166,axiom,
( lhs_atom163
| ~ $true ),
file('<stdin>',to_be_clausified_166) ).
fof(c_0_167,axiom,
( lhs_atom162
| ~ $true ),
file('<stdin>',to_be_clausified_165) ).
fof(c_0_168,axiom,
( lhs_atom161
| ~ $true ),
file('<stdin>',to_be_clausified_164) ).
fof(c_0_169,axiom,
( lhs_atom160
| ~ $true ),
file('<stdin>',to_be_clausified_163) ).
fof(c_0_170,axiom,
( lhs_atom159
| ~ $true ),
file('<stdin>',to_be_clausified_162) ).
fof(c_0_171,axiom,
( lhs_atom158
| ~ $true ),
file('<stdin>',to_be_clausified_161) ).
fof(c_0_172,axiom,
( lhs_atom157
| ~ $true ),
file('<stdin>',to_be_clausified_160) ).
fof(c_0_173,axiom,
( lhs_atom156
| ~ $true ),
file('<stdin>',to_be_clausified_159) ).
fof(c_0_174,axiom,
( lhs_atom155
| ~ $true ),
file('<stdin>',to_be_clausified_158) ).
fof(c_0_175,axiom,
( lhs_atom154
| ~ $true ),
file('<stdin>',to_be_clausified_157) ).
fof(c_0_176,axiom,
( lhs_atom153
| ~ $true ),
file('<stdin>',to_be_clausified_156) ).
fof(c_0_177,axiom,
( lhs_atom152
| ~ $true ),
file('<stdin>',to_be_clausified_155) ).
fof(c_0_178,axiom,
( lhs_atom151
| ~ $true ),
file('<stdin>',to_be_clausified_154) ).
fof(c_0_179,axiom,
( lhs_atom150
| ~ $true ),
file('<stdin>',to_be_clausified_153) ).
fof(c_0_180,axiom,
( lhs_atom149
| ~ $true ),
file('<stdin>',to_be_clausified_152) ).
fof(c_0_181,axiom,
( lhs_atom148
| ~ $true ),
file('<stdin>',to_be_clausified_151) ).
fof(c_0_182,axiom,
( lhs_atom147
| ~ $true ),
file('<stdin>',to_be_clausified_150) ).
fof(c_0_183,axiom,
( lhs_atom146
| ~ $true ),
file('<stdin>',to_be_clausified_149) ).
fof(c_0_184,axiom,
( lhs_atom145
| ~ $true ),
file('<stdin>',to_be_clausified_148) ).
fof(c_0_185,axiom,
( lhs_atom144
| ~ $true ),
file('<stdin>',to_be_clausified_147) ).
fof(c_0_186,axiom,
( lhs_atom143
| ~ $true ),
file('<stdin>',to_be_clausified_146) ).
fof(c_0_187,axiom,
( lhs_atom142
| ~ $true ),
file('<stdin>',to_be_clausified_145) ).
fof(c_0_188,axiom,
( lhs_atom141
| ~ $true ),
file('<stdin>',to_be_clausified_144) ).
fof(c_0_189,axiom,
( lhs_atom140
| ~ $true ),
file('<stdin>',to_be_clausified_143) ).
fof(c_0_190,axiom,
( lhs_atom138
| ~ $true ),
file('<stdin>',to_be_clausified_141) ).
fof(c_0_191,axiom,
( lhs_atom136
| ~ $true ),
file('<stdin>',to_be_clausified_139) ).
fof(c_0_192,axiom,
( lhs_atom135
| ~ $true ),
file('<stdin>',to_be_clausified_138) ).
fof(c_0_193,axiom,
( lhs_atom124
| ~ $true ),
file('<stdin>',to_be_clausified_127) ).
fof(c_0_194,axiom,
( lhs_atom101
| ~ $true ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_195,axiom,
( lhs_atom89
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_196,axiom,
( lhs_atom78
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_197,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_198,plain,
! [X20,X21,X22,X23,X3] : lhs_atom86(X20,X21,X22,X23,X3),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_199,plain,
! [X20,X21,X22,X23,X3] : lhs_atom75(X20,X21,X22,X23,X3),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_200,plain,
! [X16,X6,X1,X4,X3] : lhs_atom62(X16,X6,X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_201,plain,
! [X6,X1,X4,X10,X3] : lhs_atom53(X6,X1,X4,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_202,plain,
! [X1,X4,X31,X3] : lhs_atom132(X1,X4,X31,X3),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_203,plain,
! [X27,X16,X4,X3] : lhs_atom131(X27,X16,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_204,plain,
! [X28,X1,X30,X3] : lhs_atom130(X28,X1,X30,X3),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_205,plain,
! [X27,X16,X1,X3] : lhs_atom129(X27,X16,X1,X3),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_206,plain,
! [X27,X26,X4,X3] : lhs_atom111(X27,X26,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_207,plain,
! [X16,X1,X4,X3] : lhs_atom110(X16,X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_208,plain,
! [X27,X26,X4,X3] : lhs_atom107(X27,X26,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_209,plain,
! [X27,X28,X4,X3] : lhs_atom106(X27,X28,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_210,plain,
! [X16,X1,X2,X3] : lhs_atom91(X16,X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_211,plain,
! [X16,X1,X2,X3] : lhs_atom90(X16,X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_212,plain,
! [X1,X2,X7,X3] : lhs_atom68(X1,X2,X7,X3),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_213,plain,
! [X16,X1,X4,X3] : lhs_atom63(X16,X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_214,plain,
! [X1,X2,X7,X3] : lhs_atom59(X1,X2,X7,X3),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_215,plain,
! [X1,X4,X2,X3] : lhs_atom55(X1,X4,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_216,plain,
! [X16,X1,X2,X3] : lhs_atom51(X16,X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_217,plain,
! [X4,X2,X7,X3] : lhs_atom45(X4,X2,X7,X3),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_218,plain,
! [X1,X2,X7,X3] : lhs_atom44(X1,X2,X7,X3),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_219,plain,
! [X4,X2,X8,X3] : lhs_atom43(X4,X2,X8,X3),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_220,plain,
! [X1,X2,X7,X3] : lhs_atom30(X1,X2,X7,X3),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_221,plain,
! [X1,X4,X10,X3] : lhs_atom24(X1,X4,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_222,plain,
! [X6,X1,X4,X3] : lhs_atom23(X6,X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_223,plain,
! [X4,X8,X10,X3] : lhs_atom20(X4,X8,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_224,plain,
! [X1,X4,X2,X3] : lhs_atom18(X1,X4,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_225,axiom,
! [X6,X4,X3] :
( lhs_atom19(X6,X4,X3)
| c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X4,X3) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X6,X3) ),
c_0_27 ).
fof(c_0_226,plain,
! [X1,X17,X3] : lhs_atom139(X1,X17,X3),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_227,plain,
! [X32,X17,X3] : lhs_atom137(X32,X17,X3),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_228,plain,
! [X17,X19,X3] : lhs_atom134(X17,X19,X3),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_229,plain,
! [X1,X4,X3] : lhs_atom125(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_230,plain,
! [X11,X25,X3] : lhs_atom123(X11,X25,X3),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_231,plain,
! [X16,X1,X3] : lhs_atom121(X16,X1,X3),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_232,plain,
! [X1,X4,X3] : lhs_atom113(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_233,plain,
! [X16,X1,X3] : lhs_atom109(X16,X1,X3),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_234,plain,
! [X26,X4,X3] : lhs_atom105(X26,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_235,plain,
! [X11,X25,X3] : lhs_atom104(X11,X25,X3),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_236,plain,
! [X1,X2,X3] : lhs_atom103(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_237,plain,
! [X16,X6,X3] : lhs_atom102(X16,X6,X3),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_238,plain,
! [X4,X24,X3] : lhs_atom100(X4,X24,X3),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_239,plain,
! [X1,X4,X3] : lhs_atom99(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_240,plain,
! [X1,X4,X3] : lhs_atom98(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_241,plain,
! [X16,X1,X3] : lhs_atom94(X16,X1,X3),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_242,plain,
! [X1,X10,X3] : lhs_atom93(X1,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_243,plain,
! [X1,X10,X3] : lhs_atom92(X1,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_244,plain,
! [X1,X4,X3] : lhs_atom88(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_245,plain,
! [X1,X4,X3] : lhs_atom87(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_246,plain,
! [X8,X9,X10] : lhs_atom84(X8,X9,X10),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_247,plain,
! [X16,X4,X3] : lhs_atom74(X16,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_248,plain,
! [X1,X4,X3] : lhs_atom71(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_249,plain,
! [X1,X4,X3] : lhs_atom70(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_250,plain,
! [X1,X2,X3] : lhs_atom69(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_251,plain,
! [X1,X2,X3] : lhs_atom66(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_252,plain,
! [X4,X10,X3] : lhs_atom61(X4,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_253,plain,
! [X1,X4,X19] : lhs_atom60(X1,X4,X19),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_254,plain,
! [X17,X18,X3] : lhs_atom58(X17,X18,X3),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_255,plain,
! [X16,X1,X3] : lhs_atom57(X16,X1,X3),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_256,plain,
! [X1,X2,X3] : lhs_atom52(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_257,plain,
! [X1,X10,X3] : lhs_atom47(X1,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_258,plain,
! [X4,X2,X3] : lhs_atom46(X4,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_259,plain,
! [X1,X4,X3] : lhs_atom42(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_260,plain,
! [X1,X2,X3] : lhs_atom37(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_261,plain,
! [X4,X15,X3] : lhs_atom36(X4,X15,X3),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_262,plain,
! [X13,X14,X3] : lhs_atom35(X13,X14,X3),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_263,plain,
! [X1,X4,X3] : lhs_atom34(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_264,plain,
! [X4,X2,X3] : lhs_atom33(X4,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_265,plain,
! [X1,X4,X3] : lhs_atom31(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_266,plain,
! [X1,X2,X3] : lhs_atom17(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_267,plain,
! [X12,X10,X3] : lhs_atom16(X12,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_268,plain,
! [X6,X10,X3] : lhs_atom15(X6,X10,X3),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_269,plain,
! [X4,X8,X3] : lhs_atom14(X4,X8,X3),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_270,plain,
! [X2,X7,X8] : lhs_atom12(X2,X7,X8),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_271,plain,
! [X2,X7,X8] : lhs_atom11(X2,X7,X8),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_272,plain,
! [X1,X2,X3] : lhs_atom10(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_273,plain,
! [X1,X2,X3] : lhs_atom9(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_274,plain,
! [X8,X9,X10] : lhs_atom8(X8,X9,X10),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_275,plain,
! [X2,X7,X8] : lhs_atom6(X2,X7,X8),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_276,plain,
! [X5,X6,X4] : lhs_atom5(X5,X6,X4),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_277,plain,
! [X1,X4,X3] : lhs_atom4(X1,X4,X3),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_278,plain,
! [X1,X2,X3] : lhs_atom1(X1,X2,X3),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_279,plain,
! [X4,X3] : lhs_atom194(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_280,plain,
! [X4,X3] : lhs_atom133(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_281,plain,
! [X1,X3] : lhs_atom127(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_282,plain,
! [X2,X3] : lhs_atom122(X2,X3),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_283,plain,
! [X1,X3] : lhs_atom119(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_284,plain,
! [X16,X3] : lhs_atom120(X16,X3),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_285,plain,
! [X1,X3] : lhs_atom119(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_286,plain,
! [X16,X3] : lhs_atom118(X16,X3),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_287,plain,
! [X16,X3] : lhs_atom118(X16,X3),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_288,plain,
! [X1,X3] : lhs_atom116(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_289,plain,
! [X4,X3] : lhs_atom117(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_290,plain,
! [X1,X3] : lhs_atom116(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_291,plain,
! [X2,X3] : lhs_atom115(X2,X3),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_292,plain,
! [X17,X3] : lhs_atom114(X17,X3),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_293,plain,
! [X4,X3] : lhs_atom112(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_294,plain,
! [X4,X3] : lhs_atom97(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_295,plain,
! [X2,X7] : lhs_atom83(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_296,plain,
! [X1,X3] : lhs_atom81(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_297,plain,
! [X1,X3] : lhs_atom72(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_298,plain,
! [X1,X3] : lhs_atom67(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_299,plain,
! [X1,X3] : lhs_atom65(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_300,plain,
! [X1,X3] : lhs_atom64(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_301,plain,
! [X1,X3] : lhs_atom56(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_302,plain,
! [X4,X3] : lhs_atom54(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_303,plain,
! [X4,X7] : lhs_atom41(X4,X7),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_304,plain,
! [X2,X7] : lhs_atom40(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_305,plain,
! [X2,X7] : lhs_atom39(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_306,plain,
! [X1,X3] : lhs_atom38(X1,X3),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_307,plain,
! [X4,X3] : lhs_atom21(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_308,plain,
! [X2,X7] : lhs_atom32(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_309,plain,
! [X2,X7] : lhs_atom29(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_310,plain,
! [X2,X7] : lhs_atom28(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_311,plain,
! [X2,X3] : lhs_atom22(X2,X3),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_312,plain,
! [X4,X3] : lhs_atom21(X4,X3),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_313,plain,
! [X2,X7] : lhs_atom7(X2,X7),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_314,plain,
! [X3] : lhs_atom128(X3),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_315,plain,
! [X3] : lhs_atom126(X3),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_316,plain,
! [X29] : lhs_atom108(X29),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_317,plain,
! [X3] : lhs_atom96(X3),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_318,plain,
! [X3] : lhs_atom95(X3),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_319,plain,
! [X2] : lhs_atom85(X2),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_320,plain,
! [X2] : lhs_atom82(X2),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_321,plain,
! [X7] : lhs_atom80(X7),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_322,plain,
! [X7] : lhs_atom79(X7),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_323,plain,
! [X2] : lhs_atom77(X2),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_324,plain,
! [X4] : lhs_atom76(X4),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_325,plain,
! [X3] : lhs_atom73(X3),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_326,plain,
! [X3] : lhs_atom50(X3),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_327,plain,
! [X11] : lhs_atom49(X11),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_328,plain,
! [X3] : lhs_atom48(X3),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_329,plain,
! [X7] : lhs_atom27(X7),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_330,plain,
! [X2] : lhs_atom26(X2),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_331,plain,
! [X4] : lhs_atom25(X4),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_332,plain,
! [X11] : lhs_atom13(X11),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_333,plain,
! [X3] : lhs_atom2(X3),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_334,plain,
lhs_atom193,
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_335,plain,
lhs_atom192,
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_336,plain,
lhs_atom191,
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_337,plain,
lhs_atom190,
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_338,plain,
lhs_atom189,
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_339,plain,
lhs_atom188,
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_340,plain,
lhs_atom187,
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_341,plain,
lhs_atom186,
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_342,plain,
lhs_atom185,
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_343,plain,
lhs_atom184,
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_344,plain,
lhs_atom183,
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_345,plain,
lhs_atom182,
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_346,plain,
lhs_atom181,
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_347,plain,
lhs_atom180,
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_348,plain,
lhs_atom179,
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_349,plain,
lhs_atom178,
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_350,plain,
lhs_atom177,
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_351,plain,
lhs_atom176,
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_352,plain,
lhs_atom175,
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_353,plain,
lhs_atom174,
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_354,plain,
lhs_atom173,
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_355,plain,
lhs_atom172,
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_356,plain,
lhs_atom171,
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_357,plain,
lhs_atom170,
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_358,plain,
lhs_atom169,
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_359,plain,
lhs_atom168,
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_360,plain,
lhs_atom167,
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_361,plain,
lhs_atom166,
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_362,plain,
lhs_atom165,
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_363,plain,
lhs_atom164,
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_364,plain,
lhs_atom163,
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_365,plain,
lhs_atom162,
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_366,plain,
lhs_atom161,
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_367,plain,
lhs_atom160,
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_368,plain,
lhs_atom159,
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_369,plain,
lhs_atom158,
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_370,plain,
lhs_atom157,
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_371,plain,
lhs_atom156,
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_372,plain,
lhs_atom155,
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_373,plain,
lhs_atom154,
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_374,plain,
lhs_atom153,
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_375,plain,
lhs_atom152,
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_376,plain,
lhs_atom151,
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_377,plain,
lhs_atom150,
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_378,plain,
lhs_atom149,
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_379,plain,
lhs_atom148,
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_380,plain,
lhs_atom147,
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_381,plain,
lhs_atom146,
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_382,plain,
lhs_atom145,
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_383,plain,
lhs_atom144,
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_384,plain,
lhs_atom143,
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_385,plain,
lhs_atom142,
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_386,plain,
lhs_atom141,
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_387,plain,
lhs_atom140,
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_388,plain,
lhs_atom138,
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_389,plain,
lhs_atom136,
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_390,plain,
lhs_atom135,
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_391,plain,
lhs_atom124,
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_392,plain,
lhs_atom101,
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_393,plain,
lhs_atom89,
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_394,plain,
lhs_atom78,
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_395,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_396,plain,
! [X24,X25,X26,X27,X28] : lhs_atom86(X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_198]) ).
fof(c_0_397,plain,
! [X24,X25,X26,X27,X28] : lhs_atom75(X24,X25,X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_199]) ).
fof(c_0_398,plain,
! [X17,X18,X19,X20,X21] : lhs_atom62(X17,X18,X19,X20,X21),
inference(variable_rename,[status(thm)],[c_0_200]) ).
fof(c_0_399,plain,
! [X11,X12,X13,X14,X15] : lhs_atom53(X11,X12,X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_201]) ).
fof(c_0_400,plain,
! [X32,X33,X34,X35] : lhs_atom132(X32,X33,X34,X35),
inference(variable_rename,[status(thm)],[c_0_202]) ).
fof(c_0_401,plain,
! [X28,X29,X30,X31] : lhs_atom131(X28,X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_203]) ).
fof(c_0_402,plain,
! [X31,X32,X33,X34] : lhs_atom130(X31,X32,X33,X34),
inference(variable_rename,[status(thm)],[c_0_204]) ).
fof(c_0_403,plain,
! [X28,X29,X30,X31] : lhs_atom129(X28,X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_205]) ).
fof(c_0_404,plain,
! [X28,X29,X30,X31] : lhs_atom111(X28,X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_206]) ).
fof(c_0_405,plain,
! [X17,X18,X19,X20] : lhs_atom110(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_207]) ).
fof(c_0_406,plain,
! [X28,X29,X30,X31] : lhs_atom107(X28,X29,X30,X31),
inference(variable_rename,[status(thm)],[c_0_208]) ).
fof(c_0_407,plain,
! [X29,X30,X31,X32] : lhs_atom106(X29,X30,X31,X32),
inference(variable_rename,[status(thm)],[c_0_209]) ).
fof(c_0_408,plain,
! [X17,X18,X19,X20] : lhs_atom91(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_210]) ).
fof(c_0_409,plain,
! [X17,X18,X19,X20] : lhs_atom90(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_211]) ).
fof(c_0_410,plain,
! [X8,X9,X10,X11] : lhs_atom68(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_212]) ).
fof(c_0_411,plain,
! [X17,X18,X19,X20] : lhs_atom63(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_213]) ).
fof(c_0_412,plain,
! [X8,X9,X10,X11] : lhs_atom59(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_214]) ).
fof(c_0_413,plain,
! [X5,X6,X7,X8] : lhs_atom55(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_215]) ).
fof(c_0_414,plain,
! [X17,X18,X19,X20] : lhs_atom51(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_216]) ).
fof(c_0_415,plain,
! [X8,X9,X10,X11] : lhs_atom45(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_217]) ).
fof(c_0_416,plain,
! [X8,X9,X10,X11] : lhs_atom44(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_218]) ).
fof(c_0_417,plain,
! [X9,X10,X11,X12] : lhs_atom43(X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_219]) ).
fof(c_0_418,plain,
! [X8,X9,X10,X11] : lhs_atom30(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_220]) ).
fof(c_0_419,plain,
! [X11,X12,X13,X14] : lhs_atom24(X11,X12,X13,X14),
inference(variable_rename,[status(thm)],[c_0_221]) ).
fof(c_0_420,plain,
! [X7,X8,X9,X10] : lhs_atom23(X7,X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_222]) ).
fof(c_0_421,plain,
! [X11,X12,X13,X14] : lhs_atom20(X11,X12,X13,X14),
inference(variable_rename,[status(thm)],[c_0_223]) ).
fof(c_0_422,plain,
! [X5,X6,X7,X8] : lhs_atom18(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_224]) ).
fof(c_0_423,plain,
! [X7,X8,X9] :
( lhs_atom19(X7,X8,X9)
| c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X8,X9) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_225]) ).
fof(c_0_424,plain,
! [X18,X19,X20] : lhs_atom139(X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_226]) ).
fof(c_0_425,plain,
! [X33,X34,X35] : lhs_atom137(X33,X34,X35),
inference(variable_rename,[status(thm)],[c_0_227]) ).
fof(c_0_426,plain,
! [X20,X21,X22] : lhs_atom134(X20,X21,X22),
inference(variable_rename,[status(thm)],[c_0_228]) ).
fof(c_0_427,plain,
! [X5,X6,X7] : lhs_atom125(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_229]) ).
fof(c_0_428,plain,
! [X26,X27,X28] : lhs_atom123(X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_230]) ).
fof(c_0_429,plain,
! [X17,X18,X19] : lhs_atom121(X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_231]) ).
fof(c_0_430,plain,
! [X5,X6,X7] : lhs_atom113(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_232]) ).
fof(c_0_431,plain,
! [X17,X18,X19] : lhs_atom109(X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_233]) ).
fof(c_0_432,plain,
! [X27,X28,X29] : lhs_atom105(X27,X28,X29),
inference(variable_rename,[status(thm)],[c_0_234]) ).
fof(c_0_433,plain,
! [X26,X27,X28] : lhs_atom104(X26,X27,X28),
inference(variable_rename,[status(thm)],[c_0_235]) ).
fof(c_0_434,plain,
! [X4,X5,X6] : lhs_atom103(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_236]) ).
fof(c_0_435,plain,
! [X17,X18,X19] : lhs_atom102(X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_237]) ).
fof(c_0_436,plain,
! [X25,X26,X27] : lhs_atom100(X25,X26,X27),
inference(variable_rename,[status(thm)],[c_0_238]) ).
fof(c_0_437,plain,
! [X5,X6,X7] : lhs_atom99(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_239]) ).
fof(c_0_438,plain,
! [X5,X6,X7] : lhs_atom98(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_240]) ).
fof(c_0_439,plain,
! [X17,X18,X19] : lhs_atom94(X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_241]) ).
fof(c_0_440,plain,
! [X11,X12,X13] : lhs_atom93(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_242]) ).
fof(c_0_441,plain,
! [X11,X12,X13] : lhs_atom92(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_243]) ).
fof(c_0_442,plain,
! [X5,X6,X7] : lhs_atom88(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_244]) ).
fof(c_0_443,plain,
! [X5,X6,X7] : lhs_atom87(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_245]) ).
fof(c_0_444,plain,
! [X11,X12,X13] : lhs_atom84(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_246]) ).
fof(c_0_445,plain,
! [X17,X18,X19] : lhs_atom74(X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_247]) ).
fof(c_0_446,plain,
! [X5,X6,X7] : lhs_atom71(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_248]) ).
fof(c_0_447,plain,
! [X5,X6,X7] : lhs_atom70(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_249]) ).
fof(c_0_448,plain,
! [X4,X5,X6] : lhs_atom69(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_250]) ).
fof(c_0_449,plain,
! [X4,X5,X6] : lhs_atom66(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_251]) ).
fof(c_0_450,plain,
! [X11,X12,X13] : lhs_atom61(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_252]) ).
fof(c_0_451,plain,
! [X20,X21,X22] : lhs_atom60(X20,X21,X22),
inference(variable_rename,[status(thm)],[c_0_253]) ).
fof(c_0_452,plain,
! [X19,X20,X21] : lhs_atom58(X19,X20,X21),
inference(variable_rename,[status(thm)],[c_0_254]) ).
fof(c_0_453,plain,
! [X17,X18,X19] : lhs_atom57(X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_255]) ).
fof(c_0_454,plain,
! [X4,X5,X6] : lhs_atom52(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_256]) ).
fof(c_0_455,plain,
! [X11,X12,X13] : lhs_atom47(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_257]) ).
fof(c_0_456,plain,
! [X5,X6,X7] : lhs_atom46(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_258]) ).
fof(c_0_457,plain,
! [X5,X6,X7] : lhs_atom42(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_259]) ).
fof(c_0_458,plain,
! [X4,X5,X6] : lhs_atom37(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_260]) ).
fof(c_0_459,plain,
! [X16,X17,X18] : lhs_atom36(X16,X17,X18),
inference(variable_rename,[status(thm)],[c_0_261]) ).
fof(c_0_460,plain,
! [X15,X16,X17] : lhs_atom35(X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_262]) ).
fof(c_0_461,plain,
! [X5,X6,X7] : lhs_atom34(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_263]) ).
fof(c_0_462,plain,
! [X5,X6,X7] : lhs_atom33(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_264]) ).
fof(c_0_463,plain,
! [X5,X6,X7] : lhs_atom31(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_265]) ).
fof(c_0_464,plain,
! [X4,X5,X6] : lhs_atom17(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_266]) ).
fof(c_0_465,plain,
! [X13,X14,X15] : lhs_atom16(X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_267]) ).
fof(c_0_466,plain,
! [X11,X12,X13] : lhs_atom15(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_268]) ).
fof(c_0_467,plain,
! [X9,X10,X11] : lhs_atom14(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_269]) ).
fof(c_0_468,plain,
! [X9,X10,X11] : lhs_atom12(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_270]) ).
fof(c_0_469,plain,
! [X9,X10,X11] : lhs_atom11(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_271]) ).
fof(c_0_470,plain,
! [X4,X5,X6] : lhs_atom10(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_272]) ).
fof(c_0_471,plain,
! [X4,X5,X6] : lhs_atom9(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_472,plain,
! [X11,X12,X13] : lhs_atom8(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_473,plain,
! [X9,X10,X11] : lhs_atom6(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_275]) ).
fof(c_0_474,plain,
! [X7,X8,X9] : lhs_atom5(X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_276]) ).
fof(c_0_475,plain,
! [X5,X6,X7] : lhs_atom4(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_277]) ).
fof(c_0_476,plain,
! [X4,X5,X6] : lhs_atom1(X4,X5,X6),
inference(variable_rename,[status(thm)],[c_0_278]) ).
fof(c_0_477,plain,
! [X5,X6] : lhs_atom194(X5,X6),
inference(variable_rename,[status(thm)],[c_0_279]) ).
fof(c_0_478,plain,
! [X5,X6] : lhs_atom133(X5,X6),
inference(variable_rename,[status(thm)],[c_0_280]) ).
fof(c_0_479,plain,
! [X4,X5] : lhs_atom127(X4,X5),
inference(variable_rename,[status(thm)],[c_0_281]) ).
fof(c_0_480,plain,
! [X4,X5] : lhs_atom122(X4,X5),
inference(variable_rename,[status(thm)],[c_0_282]) ).
fof(c_0_481,plain,
! [X4,X5] : lhs_atom119(X4,X5),
inference(variable_rename,[status(thm)],[c_0_283]) ).
fof(c_0_482,plain,
! [X17,X18] : lhs_atom120(X17,X18),
inference(variable_rename,[status(thm)],[c_0_284]) ).
fof(c_0_483,plain,
! [X4,X5] : lhs_atom119(X4,X5),
inference(variable_rename,[status(thm)],[c_0_285]) ).
fof(c_0_484,plain,
! [X17,X18] : lhs_atom118(X17,X18),
inference(variable_rename,[status(thm)],[c_0_286]) ).
fof(c_0_485,plain,
! [X17,X18] : lhs_atom118(X17,X18),
inference(variable_rename,[status(thm)],[c_0_287]) ).
fof(c_0_486,plain,
! [X4,X5] : lhs_atom116(X4,X5),
inference(variable_rename,[status(thm)],[c_0_288]) ).
fof(c_0_487,plain,
! [X5,X6] : lhs_atom117(X5,X6),
inference(variable_rename,[status(thm)],[c_0_289]) ).
fof(c_0_488,plain,
! [X4,X5] : lhs_atom116(X4,X5),
inference(variable_rename,[status(thm)],[c_0_290]) ).
fof(c_0_489,plain,
! [X4,X5] : lhs_atom115(X4,X5),
inference(variable_rename,[status(thm)],[c_0_291]) ).
fof(c_0_490,plain,
! [X18,X19] : lhs_atom114(X18,X19),
inference(variable_rename,[status(thm)],[c_0_292]) ).
fof(c_0_491,plain,
! [X5,X6] : lhs_atom112(X5,X6),
inference(variable_rename,[status(thm)],[c_0_293]) ).
fof(c_0_492,plain,
! [X5,X6] : lhs_atom97(X5,X6),
inference(variable_rename,[status(thm)],[c_0_294]) ).
fof(c_0_493,plain,
! [X8,X9] : lhs_atom83(X8,X9),
inference(variable_rename,[status(thm)],[c_0_295]) ).
fof(c_0_494,plain,
! [X4,X5] : lhs_atom81(X4,X5),
inference(variable_rename,[status(thm)],[c_0_296]) ).
fof(c_0_495,plain,
! [X4,X5] : lhs_atom72(X4,X5),
inference(variable_rename,[status(thm)],[c_0_297]) ).
fof(c_0_496,plain,
! [X4,X5] : lhs_atom67(X4,X5),
inference(variable_rename,[status(thm)],[c_0_298]) ).
fof(c_0_497,plain,
! [X4,X5] : lhs_atom65(X4,X5),
inference(variable_rename,[status(thm)],[c_0_299]) ).
fof(c_0_498,plain,
! [X4,X5] : lhs_atom64(X4,X5),
inference(variable_rename,[status(thm)],[c_0_300]) ).
fof(c_0_499,plain,
! [X4,X5] : lhs_atom56(X4,X5),
inference(variable_rename,[status(thm)],[c_0_301]) ).
fof(c_0_500,plain,
! [X5,X6] : lhs_atom54(X5,X6),
inference(variable_rename,[status(thm)],[c_0_302]) ).
fof(c_0_501,plain,
! [X8,X9] : lhs_atom41(X8,X9),
inference(variable_rename,[status(thm)],[c_0_303]) ).
fof(c_0_502,plain,
! [X8,X9] : lhs_atom40(X8,X9),
inference(variable_rename,[status(thm)],[c_0_304]) ).
fof(c_0_503,plain,
! [X8,X9] : lhs_atom39(X8,X9),
inference(variable_rename,[status(thm)],[c_0_305]) ).
fof(c_0_504,plain,
! [X4,X5] : lhs_atom38(X4,X5),
inference(variable_rename,[status(thm)],[c_0_306]) ).
fof(c_0_505,plain,
! [X5,X6] : lhs_atom21(X5,X6),
inference(variable_rename,[status(thm)],[c_0_307]) ).
fof(c_0_506,plain,
! [X8,X9] : lhs_atom32(X8,X9),
inference(variable_rename,[status(thm)],[c_0_308]) ).
fof(c_0_507,plain,
! [X8,X9] : lhs_atom29(X8,X9),
inference(variable_rename,[status(thm)],[c_0_309]) ).
fof(c_0_508,plain,
! [X8,X9] : lhs_atom28(X8,X9),
inference(variable_rename,[status(thm)],[c_0_310]) ).
fof(c_0_509,plain,
! [X4,X5] : lhs_atom22(X4,X5),
inference(variable_rename,[status(thm)],[c_0_311]) ).
fof(c_0_510,plain,
! [X5,X6] : lhs_atom21(X5,X6),
inference(variable_rename,[status(thm)],[c_0_312]) ).
fof(c_0_511,plain,
! [X8,X9] : lhs_atom7(X8,X9),
inference(variable_rename,[status(thm)],[c_0_313]) ).
fof(c_0_512,plain,
! [X4] : lhs_atom128(X4),
inference(variable_rename,[status(thm)],[c_0_314]) ).
fof(c_0_513,plain,
! [X4] : lhs_atom126(X4),
inference(variable_rename,[status(thm)],[c_0_315]) ).
fof(c_0_514,plain,
! [X30] : lhs_atom108(X30),
inference(variable_rename,[status(thm)],[c_0_316]) ).
fof(c_0_515,plain,
! [X4] : lhs_atom96(X4),
inference(variable_rename,[status(thm)],[c_0_317]) ).
fof(c_0_516,plain,
! [X4] : lhs_atom95(X4),
inference(variable_rename,[status(thm)],[c_0_318]) ).
fof(c_0_517,plain,
! [X3] : lhs_atom85(X3),
inference(variable_rename,[status(thm)],[c_0_319]) ).
fof(c_0_518,plain,
! [X3] : lhs_atom82(X3),
inference(variable_rename,[status(thm)],[c_0_320]) ).
fof(c_0_519,plain,
! [X8] : lhs_atom80(X8),
inference(variable_rename,[status(thm)],[c_0_321]) ).
fof(c_0_520,plain,
! [X8] : lhs_atom79(X8),
inference(variable_rename,[status(thm)],[c_0_322]) ).
fof(c_0_521,plain,
! [X3] : lhs_atom77(X3),
inference(variable_rename,[status(thm)],[c_0_323]) ).
fof(c_0_522,plain,
! [X5] : lhs_atom76(X5),
inference(variable_rename,[status(thm)],[c_0_324]) ).
fof(c_0_523,plain,
! [X4] : lhs_atom73(X4),
inference(variable_rename,[status(thm)],[c_0_325]) ).
fof(c_0_524,plain,
! [X4] : lhs_atom50(X4),
inference(variable_rename,[status(thm)],[c_0_326]) ).
fof(c_0_525,plain,
! [X12] : lhs_atom49(X12),
inference(variable_rename,[status(thm)],[c_0_327]) ).
fof(c_0_526,plain,
! [X4] : lhs_atom48(X4),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_527,plain,
! [X8] : lhs_atom27(X8),
inference(variable_rename,[status(thm)],[c_0_329]) ).
fof(c_0_528,plain,
! [X3] : lhs_atom26(X3),
inference(variable_rename,[status(thm)],[c_0_330]) ).
fof(c_0_529,plain,
! [X5] : lhs_atom25(X5),
inference(variable_rename,[status(thm)],[c_0_331]) ).
fof(c_0_530,plain,
! [X12] : lhs_atom13(X12),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_531,plain,
! [X4] : lhs_atom2(X4),
inference(variable_rename,[status(thm)],[c_0_333]) ).
fof(c_0_532,plain,
lhs_atom193,
c_0_334 ).
fof(c_0_533,plain,
lhs_atom192,
c_0_335 ).
fof(c_0_534,plain,
lhs_atom191,
c_0_336 ).
fof(c_0_535,plain,
lhs_atom190,
c_0_337 ).
fof(c_0_536,plain,
lhs_atom189,
c_0_338 ).
fof(c_0_537,plain,
lhs_atom188,
c_0_339 ).
fof(c_0_538,plain,
lhs_atom187,
c_0_340 ).
fof(c_0_539,plain,
lhs_atom186,
c_0_341 ).
fof(c_0_540,plain,
lhs_atom185,
c_0_342 ).
fof(c_0_541,plain,
lhs_atom184,
c_0_343 ).
fof(c_0_542,plain,
lhs_atom183,
c_0_344 ).
fof(c_0_543,plain,
lhs_atom182,
c_0_345 ).
fof(c_0_544,plain,
lhs_atom181,
c_0_346 ).
fof(c_0_545,plain,
lhs_atom180,
c_0_347 ).
fof(c_0_546,plain,
lhs_atom179,
c_0_348 ).
fof(c_0_547,plain,
lhs_atom178,
c_0_349 ).
fof(c_0_548,plain,
lhs_atom177,
c_0_350 ).
fof(c_0_549,plain,
lhs_atom176,
c_0_351 ).
fof(c_0_550,plain,
lhs_atom175,
c_0_352 ).
fof(c_0_551,plain,
lhs_atom174,
c_0_353 ).
fof(c_0_552,plain,
lhs_atom173,
c_0_354 ).
fof(c_0_553,plain,
lhs_atom172,
c_0_355 ).
fof(c_0_554,plain,
lhs_atom171,
c_0_356 ).
fof(c_0_555,plain,
lhs_atom170,
c_0_357 ).
fof(c_0_556,plain,
lhs_atom169,
c_0_358 ).
fof(c_0_557,plain,
lhs_atom168,
c_0_359 ).
fof(c_0_558,plain,
lhs_atom167,
c_0_360 ).
fof(c_0_559,plain,
lhs_atom166,
c_0_361 ).
fof(c_0_560,plain,
lhs_atom165,
c_0_362 ).
fof(c_0_561,plain,
lhs_atom164,
c_0_363 ).
fof(c_0_562,plain,
lhs_atom163,
c_0_364 ).
fof(c_0_563,plain,
lhs_atom162,
c_0_365 ).
fof(c_0_564,plain,
lhs_atom161,
c_0_366 ).
fof(c_0_565,plain,
lhs_atom160,
c_0_367 ).
fof(c_0_566,plain,
lhs_atom159,
c_0_368 ).
fof(c_0_567,plain,
lhs_atom158,
c_0_369 ).
fof(c_0_568,plain,
lhs_atom157,
c_0_370 ).
fof(c_0_569,plain,
lhs_atom156,
c_0_371 ).
fof(c_0_570,plain,
lhs_atom155,
c_0_372 ).
fof(c_0_571,plain,
lhs_atom154,
c_0_373 ).
fof(c_0_572,plain,
lhs_atom153,
c_0_374 ).
fof(c_0_573,plain,
lhs_atom152,
c_0_375 ).
fof(c_0_574,plain,
lhs_atom151,
c_0_376 ).
fof(c_0_575,plain,
lhs_atom150,
c_0_377 ).
fof(c_0_576,plain,
lhs_atom149,
c_0_378 ).
fof(c_0_577,plain,
lhs_atom148,
c_0_379 ).
fof(c_0_578,plain,
lhs_atom147,
c_0_380 ).
fof(c_0_579,plain,
lhs_atom146,
c_0_381 ).
fof(c_0_580,plain,
lhs_atom145,
c_0_382 ).
fof(c_0_581,plain,
lhs_atom144,
c_0_383 ).
fof(c_0_582,plain,
lhs_atom143,
c_0_384 ).
fof(c_0_583,plain,
lhs_atom142,
c_0_385 ).
fof(c_0_584,plain,
lhs_atom141,
c_0_386 ).
fof(c_0_585,plain,
lhs_atom140,
c_0_387 ).
fof(c_0_586,plain,
lhs_atom138,
c_0_388 ).
fof(c_0_587,plain,
lhs_atom136,
c_0_389 ).
fof(c_0_588,plain,
lhs_atom135,
c_0_390 ).
fof(c_0_589,plain,
lhs_atom124,
c_0_391 ).
fof(c_0_590,plain,
lhs_atom101,
c_0_392 ).
fof(c_0_591,plain,
lhs_atom89,
c_0_393 ).
fof(c_0_592,plain,
lhs_atom78,
c_0_394 ).
fof(c_0_593,plain,
lhs_atom3,
c_0_395 ).
cnf(c_0_594,plain,
lhs_atom86(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_396]) ).
cnf(c_0_595,plain,
lhs_atom75(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_397]) ).
cnf(c_0_596,plain,
lhs_atom62(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_398]) ).
cnf(c_0_597,plain,
lhs_atom53(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_598,plain,
lhs_atom132(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_400]) ).
cnf(c_0_599,plain,
lhs_atom131(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_401]) ).
cnf(c_0_600,plain,
lhs_atom130(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_402]) ).
cnf(c_0_601,plain,
lhs_atom129(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_602,plain,
lhs_atom111(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_404]) ).
cnf(c_0_603,plain,
lhs_atom110(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_405]) ).
cnf(c_0_604,plain,
lhs_atom107(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_406]) ).
cnf(c_0_605,plain,
lhs_atom106(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_407]) ).
cnf(c_0_606,plain,
lhs_atom91(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_408]) ).
cnf(c_0_607,plain,
lhs_atom90(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_608,plain,
lhs_atom68(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_410]) ).
cnf(c_0_609,plain,
lhs_atom63(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_411]) ).
cnf(c_0_610,plain,
lhs_atom59(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_412]) ).
cnf(c_0_611,plain,
lhs_atom55(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_413]) ).
cnf(c_0_612,plain,
lhs_atom51(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_613,plain,
lhs_atom45(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_614,plain,
lhs_atom44(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_416]) ).
cnf(c_0_615,plain,
lhs_atom43(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_417]) ).
cnf(c_0_616,plain,
lhs_atom30(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_418]) ).
cnf(c_0_617,plain,
lhs_atom24(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_419]) ).
cnf(c_0_618,plain,
lhs_atom23(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_420]) ).
cnf(c_0_619,plain,
lhs_atom20(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_421]) ).
cnf(c_0_620,plain,
lhs_atom18(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_422]) ).
cnf(c_0_621,plain,
( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2)
| lhs_atom19(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_423]) ).
cnf(c_0_622,plain,
lhs_atom139(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_424]) ).
cnf(c_0_623,plain,
lhs_atom137(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_425]) ).
cnf(c_0_624,plain,
lhs_atom134(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_426]) ).
cnf(c_0_625,plain,
lhs_atom125(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_427]) ).
cnf(c_0_626,plain,
lhs_atom123(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_428]) ).
cnf(c_0_627,plain,
lhs_atom121(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_429]) ).
cnf(c_0_628,plain,
lhs_atom113(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_430]) ).
cnf(c_0_629,plain,
lhs_atom109(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_431]) ).
cnf(c_0_630,plain,
lhs_atom105(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_432]) ).
cnf(c_0_631,plain,
lhs_atom104(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_433]) ).
cnf(c_0_632,plain,
lhs_atom103(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_434]) ).
cnf(c_0_633,plain,
lhs_atom102(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_435]) ).
cnf(c_0_634,plain,
lhs_atom100(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_436]) ).
cnf(c_0_635,plain,
lhs_atom99(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_437]) ).
cnf(c_0_636,plain,
lhs_atom98(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_438]) ).
cnf(c_0_637,plain,
lhs_atom94(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_439]) ).
cnf(c_0_638,plain,
lhs_atom93(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_440]) ).
cnf(c_0_639,plain,
lhs_atom92(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_441]) ).
cnf(c_0_640,plain,
lhs_atom88(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_442]) ).
cnf(c_0_641,plain,
lhs_atom87(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_443]) ).
cnf(c_0_642,plain,
lhs_atom84(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_444]) ).
cnf(c_0_643,plain,
lhs_atom74(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_445]) ).
cnf(c_0_644,plain,
lhs_atom71(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_446]) ).
cnf(c_0_645,plain,
lhs_atom70(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_447]) ).
cnf(c_0_646,plain,
lhs_atom69(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_448]) ).
cnf(c_0_647,plain,
lhs_atom66(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_449]) ).
cnf(c_0_648,plain,
lhs_atom61(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_450]) ).
cnf(c_0_649,plain,
lhs_atom60(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_451]) ).
cnf(c_0_650,plain,
lhs_atom58(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_452]) ).
cnf(c_0_651,plain,
lhs_atom57(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_652,plain,
lhs_atom52(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_454]) ).
cnf(c_0_653,plain,
lhs_atom47(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_654,plain,
lhs_atom46(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_456]) ).
cnf(c_0_655,plain,
lhs_atom42(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_656,plain,
lhs_atom37(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_458]) ).
cnf(c_0_657,plain,
lhs_atom36(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_459]) ).
cnf(c_0_658,plain,
lhs_atom35(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_659,plain,
lhs_atom34(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_461]) ).
cnf(c_0_660,plain,
lhs_atom33(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_462]) ).
cnf(c_0_661,plain,
lhs_atom31(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_463]) ).
cnf(c_0_662,plain,
lhs_atom17(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_464]) ).
cnf(c_0_663,plain,
lhs_atom16(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_465]) ).
cnf(c_0_664,plain,
lhs_atom15(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_466]) ).
cnf(c_0_665,plain,
lhs_atom14(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_467]) ).
cnf(c_0_666,plain,
lhs_atom12(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_468]) ).
cnf(c_0_667,plain,
lhs_atom11(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_469]) ).
cnf(c_0_668,plain,
lhs_atom10(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_470]) ).
cnf(c_0_669,plain,
lhs_atom9(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_670,plain,
lhs_atom8(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_472]) ).
cnf(c_0_671,plain,
lhs_atom6(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_473]) ).
cnf(c_0_672,plain,
lhs_atom5(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_673,plain,
lhs_atom4(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_475]) ).
cnf(c_0_674,plain,
lhs_atom1(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_476]) ).
cnf(c_0_675,plain,
lhs_atom194(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_676,plain,
lhs_atom133(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_478]) ).
cnf(c_0_677,plain,
lhs_atom127(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_479]) ).
cnf(c_0_678,plain,
lhs_atom122(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_480]) ).
cnf(c_0_679,plain,
lhs_atom119(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_481]) ).
cnf(c_0_680,plain,
lhs_atom120(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_482]) ).
cnf(c_0_681,plain,
lhs_atom119(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_483]) ).
cnf(c_0_682,plain,
lhs_atom118(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_484]) ).
cnf(c_0_683,plain,
lhs_atom118(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_485]) ).
cnf(c_0_684,plain,
lhs_atom116(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_486]) ).
cnf(c_0_685,plain,
lhs_atom117(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_487]) ).
cnf(c_0_686,plain,
lhs_atom116(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_488]) ).
cnf(c_0_687,plain,
lhs_atom115(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_489]) ).
cnf(c_0_688,plain,
lhs_atom114(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_490]) ).
cnf(c_0_689,plain,
lhs_atom112(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_690,plain,
lhs_atom97(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_492]) ).
cnf(c_0_691,plain,
lhs_atom83(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_493]) ).
cnf(c_0_692,plain,
lhs_atom81(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_494]) ).
cnf(c_0_693,plain,
lhs_atom72(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_694,plain,
lhs_atom67(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_496]) ).
cnf(c_0_695,plain,
lhs_atom65(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_497]) ).
cnf(c_0_696,plain,
lhs_atom64(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_498]) ).
cnf(c_0_697,plain,
lhs_atom56(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_499]) ).
cnf(c_0_698,plain,
lhs_atom54(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_500]) ).
cnf(c_0_699,plain,
lhs_atom41(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_501]) ).
cnf(c_0_700,plain,
lhs_atom40(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_701,plain,
lhs_atom39(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_503]) ).
cnf(c_0_702,plain,
lhs_atom38(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_504]) ).
cnf(c_0_703,plain,
lhs_atom21(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_505]) ).
cnf(c_0_704,plain,
lhs_atom32(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_705,plain,
lhs_atom29(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_507]) ).
cnf(c_0_706,plain,
lhs_atom28(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_508]) ).
cnf(c_0_707,plain,
lhs_atom22(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_509]) ).
cnf(c_0_708,plain,
lhs_atom21(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_510]) ).
cnf(c_0_709,plain,
lhs_atom7(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_511]) ).
cnf(c_0_710,plain,
lhs_atom128(X1),
inference(split_conjunct,[status(thm)],[c_0_512]) ).
cnf(c_0_711,plain,
lhs_atom126(X1),
inference(split_conjunct,[status(thm)],[c_0_513]) ).
cnf(c_0_712,plain,
lhs_atom108(X1),
inference(split_conjunct,[status(thm)],[c_0_514]) ).
cnf(c_0_713,plain,
lhs_atom96(X1),
inference(split_conjunct,[status(thm)],[c_0_515]) ).
cnf(c_0_714,plain,
lhs_atom95(X1),
inference(split_conjunct,[status(thm)],[c_0_516]) ).
cnf(c_0_715,plain,
lhs_atom85(X1),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_716,plain,
lhs_atom82(X1),
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_717,plain,
lhs_atom80(X1),
inference(split_conjunct,[status(thm)],[c_0_519]) ).
cnf(c_0_718,plain,
lhs_atom79(X1),
inference(split_conjunct,[status(thm)],[c_0_520]) ).
cnf(c_0_719,plain,
lhs_atom77(X1),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_720,plain,
lhs_atom76(X1),
inference(split_conjunct,[status(thm)],[c_0_522]) ).
cnf(c_0_721,plain,
lhs_atom73(X1),
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_722,plain,
lhs_atom50(X1),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_723,plain,
lhs_atom49(X1),
inference(split_conjunct,[status(thm)],[c_0_525]) ).
cnf(c_0_724,plain,
lhs_atom48(X1),
inference(split_conjunct,[status(thm)],[c_0_526]) ).
cnf(c_0_725,plain,
lhs_atom27(X1),
inference(split_conjunct,[status(thm)],[c_0_527]) ).
cnf(c_0_726,plain,
lhs_atom26(X1),
inference(split_conjunct,[status(thm)],[c_0_528]) ).
cnf(c_0_727,plain,
lhs_atom25(X1),
inference(split_conjunct,[status(thm)],[c_0_529]) ).
cnf(c_0_728,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_530]) ).
cnf(c_0_729,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_531]) ).
cnf(c_0_730,plain,
lhs_atom193,
inference(split_conjunct,[status(thm)],[c_0_532]) ).
cnf(c_0_731,plain,
lhs_atom192,
inference(split_conjunct,[status(thm)],[c_0_533]) ).
cnf(c_0_732,plain,
lhs_atom191,
inference(split_conjunct,[status(thm)],[c_0_534]) ).
cnf(c_0_733,plain,
lhs_atom190,
inference(split_conjunct,[status(thm)],[c_0_535]) ).
cnf(c_0_734,plain,
lhs_atom189,
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_735,plain,
lhs_atom188,
inference(split_conjunct,[status(thm)],[c_0_537]) ).
cnf(c_0_736,plain,
lhs_atom187,
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_737,plain,
lhs_atom186,
inference(split_conjunct,[status(thm)],[c_0_539]) ).
cnf(c_0_738,plain,
lhs_atom185,
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_739,plain,
lhs_atom184,
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_740,plain,
lhs_atom183,
inference(split_conjunct,[status(thm)],[c_0_542]) ).
cnf(c_0_741,plain,
lhs_atom182,
inference(split_conjunct,[status(thm)],[c_0_543]) ).
cnf(c_0_742,plain,
lhs_atom181,
inference(split_conjunct,[status(thm)],[c_0_544]) ).
cnf(c_0_743,plain,
lhs_atom180,
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_744,plain,
lhs_atom179,
inference(split_conjunct,[status(thm)],[c_0_546]) ).
cnf(c_0_745,plain,
lhs_atom178,
inference(split_conjunct,[status(thm)],[c_0_547]) ).
cnf(c_0_746,plain,
lhs_atom177,
inference(split_conjunct,[status(thm)],[c_0_548]) ).
cnf(c_0_747,plain,
lhs_atom176,
inference(split_conjunct,[status(thm)],[c_0_549]) ).
cnf(c_0_748,plain,
lhs_atom175,
inference(split_conjunct,[status(thm)],[c_0_550]) ).
cnf(c_0_749,plain,
lhs_atom174,
inference(split_conjunct,[status(thm)],[c_0_551]) ).
cnf(c_0_750,plain,
lhs_atom173,
inference(split_conjunct,[status(thm)],[c_0_552]) ).
cnf(c_0_751,plain,
lhs_atom172,
inference(split_conjunct,[status(thm)],[c_0_553]) ).
cnf(c_0_752,plain,
lhs_atom171,
inference(split_conjunct,[status(thm)],[c_0_554]) ).
cnf(c_0_753,plain,
lhs_atom170,
inference(split_conjunct,[status(thm)],[c_0_555]) ).
cnf(c_0_754,plain,
lhs_atom169,
inference(split_conjunct,[status(thm)],[c_0_556]) ).
cnf(c_0_755,plain,
lhs_atom168,
inference(split_conjunct,[status(thm)],[c_0_557]) ).
cnf(c_0_756,plain,
lhs_atom167,
inference(split_conjunct,[status(thm)],[c_0_558]) ).
cnf(c_0_757,plain,
lhs_atom166,
inference(split_conjunct,[status(thm)],[c_0_559]) ).
cnf(c_0_758,plain,
lhs_atom165,
inference(split_conjunct,[status(thm)],[c_0_560]) ).
cnf(c_0_759,plain,
lhs_atom164,
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_760,plain,
lhs_atom163,
inference(split_conjunct,[status(thm)],[c_0_562]) ).
cnf(c_0_761,plain,
lhs_atom162,
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_762,plain,
lhs_atom161,
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_763,plain,
lhs_atom160,
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_764,plain,
lhs_atom159,
inference(split_conjunct,[status(thm)],[c_0_566]) ).
cnf(c_0_765,plain,
lhs_atom158,
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_766,plain,
lhs_atom157,
inference(split_conjunct,[status(thm)],[c_0_568]) ).
cnf(c_0_767,plain,
lhs_atom156,
inference(split_conjunct,[status(thm)],[c_0_569]) ).
cnf(c_0_768,plain,
lhs_atom155,
inference(split_conjunct,[status(thm)],[c_0_570]) ).
cnf(c_0_769,plain,
lhs_atom154,
inference(split_conjunct,[status(thm)],[c_0_571]) ).
cnf(c_0_770,plain,
lhs_atom153,
inference(split_conjunct,[status(thm)],[c_0_572]) ).
cnf(c_0_771,plain,
lhs_atom152,
inference(split_conjunct,[status(thm)],[c_0_573]) ).
cnf(c_0_772,plain,
lhs_atom151,
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_773,plain,
lhs_atom150,
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_774,plain,
lhs_atom149,
inference(split_conjunct,[status(thm)],[c_0_576]) ).
cnf(c_0_775,plain,
lhs_atom148,
inference(split_conjunct,[status(thm)],[c_0_577]) ).
cnf(c_0_776,plain,
lhs_atom147,
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_777,plain,
lhs_atom146,
inference(split_conjunct,[status(thm)],[c_0_579]) ).
cnf(c_0_778,plain,
lhs_atom145,
inference(split_conjunct,[status(thm)],[c_0_580]) ).
cnf(c_0_779,plain,
lhs_atom144,
inference(split_conjunct,[status(thm)],[c_0_581]) ).
cnf(c_0_780,plain,
lhs_atom143,
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_781,plain,
lhs_atom142,
inference(split_conjunct,[status(thm)],[c_0_583]) ).
cnf(c_0_782,plain,
lhs_atom141,
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_783,plain,
lhs_atom140,
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_784,plain,
lhs_atom138,
inference(split_conjunct,[status(thm)],[c_0_586]) ).
cnf(c_0_785,plain,
lhs_atom136,
inference(split_conjunct,[status(thm)],[c_0_587]) ).
cnf(c_0_786,plain,
lhs_atom135,
inference(split_conjunct,[status(thm)],[c_0_588]) ).
cnf(c_0_787,plain,
lhs_atom124,
inference(split_conjunct,[status(thm)],[c_0_589]) ).
cnf(c_0_788,plain,
lhs_atom101,
inference(split_conjunct,[status(thm)],[c_0_590]) ).
cnf(c_0_789,plain,
lhs_atom89,
inference(split_conjunct,[status(thm)],[c_0_591]) ).
cnf(c_0_790,plain,
lhs_atom78,
inference(split_conjunct,[status(thm)],[c_0_592]) ).
cnf(c_0_791,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_593]) ).
cnf(c_0_792,plain,
lhs_atom86(X1,X2,X3,X4,X5),
c_0_594,
[final] ).
cnf(c_0_793,plain,
lhs_atom75(X1,X2,X3,X4,X5),
c_0_595,
[final] ).
cnf(c_0_794,plain,
lhs_atom62(X1,X2,X3,X4,X5),
c_0_596,
[final] ).
cnf(c_0_795,plain,
lhs_atom53(X1,X2,X3,X4,X5),
c_0_597,
[final] ).
cnf(c_0_796,plain,
lhs_atom132(X1,X2,X3,X4),
c_0_598,
[final] ).
cnf(c_0_797,plain,
lhs_atom131(X1,X2,X3,X4),
c_0_599,
[final] ).
cnf(c_0_798,plain,
lhs_atom130(X1,X2,X3,X4),
c_0_600,
[final] ).
cnf(c_0_799,plain,
lhs_atom129(X1,X2,X3,X4),
c_0_601,
[final] ).
cnf(c_0_800,plain,
lhs_atom111(X1,X2,X3,X4),
c_0_602,
[final] ).
cnf(c_0_801,plain,
lhs_atom110(X1,X2,X3,X4),
c_0_603,
[final] ).
cnf(c_0_802,plain,
lhs_atom107(X1,X2,X3,X4),
c_0_604,
[final] ).
cnf(c_0_803,plain,
lhs_atom106(X1,X2,X3,X4),
c_0_605,
[final] ).
cnf(c_0_804,plain,
lhs_atom91(X1,X2,X3,X4),
c_0_606,
[final] ).
cnf(c_0_805,plain,
lhs_atom90(X1,X2,X3,X4),
c_0_607,
[final] ).
cnf(c_0_806,plain,
lhs_atom68(X1,X2,X3,X4),
c_0_608,
[final] ).
cnf(c_0_807,plain,
lhs_atom63(X1,X2,X3,X4),
c_0_609,
[final] ).
cnf(c_0_808,plain,
lhs_atom59(X1,X2,X3,X4),
c_0_610,
[final] ).
cnf(c_0_809,plain,
lhs_atom55(X1,X2,X3,X4),
c_0_611,
[final] ).
cnf(c_0_810,plain,
lhs_atom51(X1,X2,X3,X4),
c_0_612,
[final] ).
cnf(c_0_811,plain,
lhs_atom45(X1,X2,X3,X4),
c_0_613,
[final] ).
cnf(c_0_812,plain,
lhs_atom44(X1,X2,X3,X4),
c_0_614,
[final] ).
cnf(c_0_813,plain,
lhs_atom43(X1,X2,X3,X4),
c_0_615,
[final] ).
cnf(c_0_814,plain,
lhs_atom30(X1,X2,X3,X4),
c_0_616,
[final] ).
cnf(c_0_815,plain,
lhs_atom24(X1,X2,X3,X4),
c_0_617,
[final] ).
cnf(c_0_816,plain,
lhs_atom23(X1,X2,X3,X4),
c_0_618,
[final] ).
cnf(c_0_817,plain,
lhs_atom20(X1,X2,X3,X4),
c_0_619,
[final] ).
cnf(c_0_818,plain,
lhs_atom18(X1,X2,X3,X4),
c_0_620,
[final] ).
cnf(c_0_819,plain,
( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2)
| lhs_atom19(X3,X1,X2) ),
c_0_621,
[final] ).
cnf(c_0_820,plain,
lhs_atom139(X1,X2,X3),
c_0_622,
[final] ).
cnf(c_0_821,plain,
lhs_atom137(X1,X2,X3),
c_0_623,
[final] ).
cnf(c_0_822,plain,
lhs_atom134(X1,X2,X3),
c_0_624,
[final] ).
cnf(c_0_823,plain,
lhs_atom125(X1,X2,X3),
c_0_625,
[final] ).
cnf(c_0_824,plain,
lhs_atom123(X1,X2,X3),
c_0_626,
[final] ).
cnf(c_0_825,plain,
lhs_atom121(X1,X2,X3),
c_0_627,
[final] ).
cnf(c_0_826,plain,
lhs_atom113(X1,X2,X3),
c_0_628,
[final] ).
cnf(c_0_827,plain,
lhs_atom109(X1,X2,X3),
c_0_629,
[final] ).
cnf(c_0_828,plain,
lhs_atom105(X1,X2,X3),
c_0_630,
[final] ).
cnf(c_0_829,plain,
lhs_atom104(X1,X2,X3),
c_0_631,
[final] ).
cnf(c_0_830,plain,
lhs_atom103(X1,X2,X3),
c_0_632,
[final] ).
cnf(c_0_831,plain,
lhs_atom102(X1,X2,X3),
c_0_633,
[final] ).
cnf(c_0_832,plain,
lhs_atom100(X1,X2,X3),
c_0_634,
[final] ).
cnf(c_0_833,plain,
lhs_atom99(X1,X2,X3),
c_0_635,
[final] ).
cnf(c_0_834,plain,
lhs_atom98(X1,X2,X3),
c_0_636,
[final] ).
cnf(c_0_835,plain,
lhs_atom94(X1,X2,X3),
c_0_637,
[final] ).
cnf(c_0_836,plain,
lhs_atom93(X1,X2,X3),
c_0_638,
[final] ).
cnf(c_0_837,plain,
lhs_atom92(X1,X2,X3),
c_0_639,
[final] ).
cnf(c_0_838,plain,
lhs_atom88(X1,X2,X3),
c_0_640,
[final] ).
cnf(c_0_839,plain,
lhs_atom87(X1,X2,X3),
c_0_641,
[final] ).
cnf(c_0_840,plain,
lhs_atom84(X1,X2,X3),
c_0_642,
[final] ).
cnf(c_0_841,plain,
lhs_atom74(X1,X2,X3),
c_0_643,
[final] ).
cnf(c_0_842,plain,
lhs_atom71(X1,X2,X3),
c_0_644,
[final] ).
cnf(c_0_843,plain,
lhs_atom70(X1,X2,X3),
c_0_645,
[final] ).
cnf(c_0_844,plain,
lhs_atom69(X1,X2,X3),
c_0_646,
[final] ).
cnf(c_0_845,plain,
lhs_atom66(X1,X2,X3),
c_0_647,
[final] ).
cnf(c_0_846,plain,
lhs_atom61(X1,X2,X3),
c_0_648,
[final] ).
cnf(c_0_847,plain,
lhs_atom60(X1,X2,X3),
c_0_649,
[final] ).
cnf(c_0_848,plain,
lhs_atom58(X1,X2,X3),
c_0_650,
[final] ).
cnf(c_0_849,plain,
lhs_atom57(X1,X2,X3),
c_0_651,
[final] ).
cnf(c_0_850,plain,
lhs_atom52(X1,X2,X3),
c_0_652,
[final] ).
cnf(c_0_851,plain,
lhs_atom47(X1,X2,X3),
c_0_653,
[final] ).
cnf(c_0_852,plain,
lhs_atom46(X1,X2,X3),
c_0_654,
[final] ).
cnf(c_0_853,plain,
lhs_atom42(X1,X2,X3),
c_0_655,
[final] ).
cnf(c_0_854,plain,
lhs_atom37(X1,X2,X3),
c_0_656,
[final] ).
cnf(c_0_855,plain,
lhs_atom36(X1,X2,X3),
c_0_657,
[final] ).
cnf(c_0_856,plain,
lhs_atom35(X1,X2,X3),
c_0_658,
[final] ).
cnf(c_0_857,plain,
lhs_atom34(X1,X2,X3),
c_0_659,
[final] ).
cnf(c_0_858,plain,
lhs_atom33(X1,X2,X3),
c_0_660,
[final] ).
cnf(c_0_859,plain,
lhs_atom31(X1,X2,X3),
c_0_661,
[final] ).
cnf(c_0_860,plain,
lhs_atom17(X1,X2,X3),
c_0_662,
[final] ).
cnf(c_0_861,plain,
lhs_atom16(X1,X2,X3),
c_0_663,
[final] ).
cnf(c_0_862,plain,
lhs_atom15(X1,X2,X3),
c_0_664,
[final] ).
cnf(c_0_863,plain,
lhs_atom14(X1,X2,X3),
c_0_665,
[final] ).
cnf(c_0_864,plain,
lhs_atom12(X1,X2,X3),
c_0_666,
[final] ).
cnf(c_0_865,plain,
lhs_atom11(X1,X2,X3),
c_0_667,
[final] ).
cnf(c_0_866,plain,
lhs_atom10(X1,X2,X3),
c_0_668,
[final] ).
cnf(c_0_867,plain,
lhs_atom9(X1,X2,X3),
c_0_669,
[final] ).
cnf(c_0_868,plain,
lhs_atom8(X1,X2,X3),
c_0_670,
[final] ).
cnf(c_0_869,plain,
lhs_atom6(X1,X2,X3),
c_0_671,
[final] ).
cnf(c_0_870,plain,
lhs_atom5(X1,X2,X3),
c_0_672,
[final] ).
cnf(c_0_871,plain,
lhs_atom4(X1,X2,X3),
c_0_673,
[final] ).
cnf(c_0_872,plain,
lhs_atom1(X1,X2,X3),
c_0_674,
[final] ).
cnf(c_0_873,plain,
lhs_atom194(X1,X2),
c_0_675,
[final] ).
cnf(c_0_874,plain,
lhs_atom133(X1,X2),
c_0_676,
[final] ).
cnf(c_0_875,plain,
lhs_atom127(X1,X2),
c_0_677,
[final] ).
cnf(c_0_876,plain,
lhs_atom122(X1,X2),
c_0_678,
[final] ).
cnf(c_0_877,plain,
lhs_atom119(X1,X2),
c_0_679,
[final] ).
cnf(c_0_878,plain,
lhs_atom120(X1,X2),
c_0_680,
[final] ).
cnf(c_0_879,plain,
lhs_atom119(X1,X2),
c_0_681,
[final] ).
cnf(c_0_880,plain,
lhs_atom118(X1,X2),
c_0_682,
[final] ).
cnf(c_0_881,plain,
lhs_atom118(X1,X2),
c_0_683,
[final] ).
cnf(c_0_882,plain,
lhs_atom116(X1,X2),
c_0_684,
[final] ).
cnf(c_0_883,plain,
lhs_atom117(X1,X2),
c_0_685,
[final] ).
cnf(c_0_884,plain,
lhs_atom116(X1,X2),
c_0_686,
[final] ).
cnf(c_0_885,plain,
lhs_atom115(X1,X2),
c_0_687,
[final] ).
cnf(c_0_886,plain,
lhs_atom114(X1,X2),
c_0_688,
[final] ).
cnf(c_0_887,plain,
lhs_atom112(X1,X2),
c_0_689,
[final] ).
cnf(c_0_888,plain,
lhs_atom97(X1,X2),
c_0_690,
[final] ).
cnf(c_0_889,plain,
lhs_atom83(X1,X2),
c_0_691,
[final] ).
cnf(c_0_890,plain,
lhs_atom81(X1,X2),
c_0_692,
[final] ).
cnf(c_0_891,plain,
lhs_atom72(X1,X2),
c_0_693,
[final] ).
cnf(c_0_892,plain,
lhs_atom67(X1,X2),
c_0_694,
[final] ).
cnf(c_0_893,plain,
lhs_atom65(X1,X2),
c_0_695,
[final] ).
cnf(c_0_894,plain,
lhs_atom64(X1,X2),
c_0_696,
[final] ).
cnf(c_0_895,plain,
lhs_atom56(X1,X2),
c_0_697,
[final] ).
cnf(c_0_896,plain,
lhs_atom54(X1,X2),
c_0_698,
[final] ).
cnf(c_0_897,plain,
lhs_atom41(X1,X2),
c_0_699,
[final] ).
cnf(c_0_898,plain,
lhs_atom40(X1,X2),
c_0_700,
[final] ).
cnf(c_0_899,plain,
lhs_atom39(X1,X2),
c_0_701,
[final] ).
cnf(c_0_900,plain,
lhs_atom38(X1,X2),
c_0_702,
[final] ).
cnf(c_0_901,plain,
lhs_atom21(X1,X2),
c_0_703,
[final] ).
cnf(c_0_902,plain,
lhs_atom32(X1,X2),
c_0_704,
[final] ).
cnf(c_0_903,plain,
lhs_atom29(X1,X2),
c_0_705,
[final] ).
cnf(c_0_904,plain,
lhs_atom28(X1,X2),
c_0_706,
[final] ).
cnf(c_0_905,plain,
lhs_atom22(X1,X2),
c_0_707,
[final] ).
cnf(c_0_906,plain,
lhs_atom21(X1,X2),
c_0_708,
[final] ).
cnf(c_0_907,plain,
lhs_atom7(X1,X2),
c_0_709,
[final] ).
cnf(c_0_908,plain,
lhs_atom128(X1),
c_0_710,
[final] ).
cnf(c_0_909,plain,
lhs_atom126(X1),
c_0_711,
[final] ).
cnf(c_0_910,plain,
lhs_atom108(X1),
c_0_712,
[final] ).
cnf(c_0_911,plain,
lhs_atom96(X1),
c_0_713,
[final] ).
cnf(c_0_912,plain,
lhs_atom95(X1),
c_0_714,
[final] ).
cnf(c_0_913,plain,
lhs_atom85(X1),
c_0_715,
[final] ).
cnf(c_0_914,plain,
lhs_atom82(X1),
c_0_716,
[final] ).
cnf(c_0_915,plain,
lhs_atom80(X1),
c_0_717,
[final] ).
cnf(c_0_916,plain,
lhs_atom79(X1),
c_0_718,
[final] ).
cnf(c_0_917,plain,
lhs_atom77(X1),
c_0_719,
[final] ).
cnf(c_0_918,plain,
lhs_atom76(X1),
c_0_720,
[final] ).
cnf(c_0_919,plain,
lhs_atom73(X1),
c_0_721,
[final] ).
cnf(c_0_920,plain,
lhs_atom50(X1),
c_0_722,
[final] ).
cnf(c_0_921,plain,
lhs_atom49(X1),
c_0_723,
[final] ).
cnf(c_0_922,plain,
lhs_atom48(X1),
c_0_724,
[final] ).
cnf(c_0_923,plain,
lhs_atom27(X1),
c_0_725,
[final] ).
cnf(c_0_924,plain,
lhs_atom26(X1),
c_0_726,
[final] ).
cnf(c_0_925,plain,
lhs_atom25(X1),
c_0_727,
[final] ).
cnf(c_0_926,plain,
lhs_atom13(X1),
c_0_728,
[final] ).
cnf(c_0_927,plain,
lhs_atom2(X1),
c_0_729,
[final] ).
cnf(c_0_928,plain,
lhs_atom193,
c_0_730,
[final] ).
cnf(c_0_929,plain,
lhs_atom192,
c_0_731,
[final] ).
cnf(c_0_930,plain,
lhs_atom191,
c_0_732,
[final] ).
cnf(c_0_931,plain,
lhs_atom190,
c_0_733,
[final] ).
cnf(c_0_932,plain,
lhs_atom189,
c_0_734,
[final] ).
cnf(c_0_933,plain,
lhs_atom188,
c_0_735,
[final] ).
cnf(c_0_934,plain,
lhs_atom187,
c_0_736,
[final] ).
cnf(c_0_935,plain,
lhs_atom186,
c_0_737,
[final] ).
cnf(c_0_936,plain,
lhs_atom185,
c_0_738,
[final] ).
cnf(c_0_937,plain,
lhs_atom184,
c_0_739,
[final] ).
cnf(c_0_938,plain,
lhs_atom183,
c_0_740,
[final] ).
cnf(c_0_939,plain,
lhs_atom182,
c_0_741,
[final] ).
cnf(c_0_940,plain,
lhs_atom181,
c_0_742,
[final] ).
cnf(c_0_941,plain,
lhs_atom180,
c_0_743,
[final] ).
cnf(c_0_942,plain,
lhs_atom179,
c_0_744,
[final] ).
cnf(c_0_943,plain,
lhs_atom178,
c_0_745,
[final] ).
cnf(c_0_944,plain,
lhs_atom177,
c_0_746,
[final] ).
cnf(c_0_945,plain,
lhs_atom176,
c_0_747,
[final] ).
cnf(c_0_946,plain,
lhs_atom175,
c_0_748,
[final] ).
cnf(c_0_947,plain,
lhs_atom174,
c_0_749,
[final] ).
cnf(c_0_948,plain,
lhs_atom173,
c_0_750,
[final] ).
cnf(c_0_949,plain,
lhs_atom172,
c_0_751,
[final] ).
cnf(c_0_950,plain,
lhs_atom171,
c_0_752,
[final] ).
cnf(c_0_951,plain,
lhs_atom170,
c_0_753,
[final] ).
cnf(c_0_952,plain,
lhs_atom169,
c_0_754,
[final] ).
cnf(c_0_953,plain,
lhs_atom168,
c_0_755,
[final] ).
cnf(c_0_954,plain,
lhs_atom167,
c_0_756,
[final] ).
cnf(c_0_955,plain,
lhs_atom166,
c_0_757,
[final] ).
cnf(c_0_956,plain,
lhs_atom165,
c_0_758,
[final] ).
cnf(c_0_957,plain,
lhs_atom164,
c_0_759,
[final] ).
cnf(c_0_958,plain,
lhs_atom163,
c_0_760,
[final] ).
cnf(c_0_959,plain,
lhs_atom162,
c_0_761,
[final] ).
cnf(c_0_960,plain,
lhs_atom161,
c_0_762,
[final] ).
cnf(c_0_961,plain,
lhs_atom160,
c_0_763,
[final] ).
cnf(c_0_962,plain,
lhs_atom159,
c_0_764,
[final] ).
cnf(c_0_963,plain,
lhs_atom158,
c_0_765,
[final] ).
cnf(c_0_964,plain,
lhs_atom157,
c_0_766,
[final] ).
cnf(c_0_965,plain,
lhs_atom156,
c_0_767,
[final] ).
cnf(c_0_966,plain,
lhs_atom155,
c_0_768,
[final] ).
cnf(c_0_967,plain,
lhs_atom154,
c_0_769,
[final] ).
cnf(c_0_968,plain,
lhs_atom153,
c_0_770,
[final] ).
cnf(c_0_969,plain,
lhs_atom152,
c_0_771,
[final] ).
cnf(c_0_970,plain,
lhs_atom151,
c_0_772,
[final] ).
cnf(c_0_971,plain,
lhs_atom150,
c_0_773,
[final] ).
cnf(c_0_972,plain,
lhs_atom149,
c_0_774,
[final] ).
cnf(c_0_973,plain,
lhs_atom148,
c_0_775,
[final] ).
cnf(c_0_974,plain,
lhs_atom147,
c_0_776,
[final] ).
cnf(c_0_975,plain,
lhs_atom146,
c_0_777,
[final] ).
cnf(c_0_976,plain,
lhs_atom145,
c_0_778,
[final] ).
cnf(c_0_977,plain,
lhs_atom144,
c_0_779,
[final] ).
cnf(c_0_978,plain,
lhs_atom143,
c_0_780,
[final] ).
cnf(c_0_979,plain,
lhs_atom142,
c_0_781,
[final] ).
cnf(c_0_980,plain,
lhs_atom141,
c_0_782,
[final] ).
cnf(c_0_981,plain,
lhs_atom140,
c_0_783,
[final] ).
cnf(c_0_982,plain,
lhs_atom138,
c_0_784,
[final] ).
cnf(c_0_983,plain,
lhs_atom136,
c_0_785,
[final] ).
cnf(c_0_984,plain,
lhs_atom135,
c_0_786,
[final] ).
cnf(c_0_985,plain,
lhs_atom124,
c_0_787,
[final] ).
cnf(c_0_986,plain,
lhs_atom101,
c_0_788,
[final] ).
cnf(c_0_987,plain,
lhs_atom89,
c_0_789,
[final] ).
cnf(c_0_988,plain,
lhs_atom78,
c_0_790,
[final] ).
cnf(c_0_989,plain,
lhs_atom3,
c_0_791,
[final] ).
% End CNF derivation
cnf(c_0_819_0,axiom,
( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2)
| c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_819,def_lhs_atom19]) ).
cnf(c_0_792_0,axiom,
c_Expr_Oexp_OCall(X4,X3,X2,X5) != c_Expr_Oexp_OVal(X1,X5),
inference(unfold_definition,[status(thm)],[c_0_792,def_lhs_atom86]) ).
cnf(c_0_793_0,axiom,
c_Expr_Oexp_OVal(X1,X5) != c_Expr_Oexp_OCall(X4,X3,X2,X5),
inference(unfold_definition,[status(thm)],[c_0_793,def_lhs_atom75]) ).
cnf(c_0_794_0,axiom,
c_List_Olist__update(c_List_Oappend(X3,c_List_Olist_OCons(X4,X1,X5),X5),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)),X2,X5) = c_List_Oappend(X3,c_List_Olist_OCons(X2,X1,X5),X5),
inference(unfold_definition,[status(thm)],[c_0_794,def_lhs_atom62]) ).
cnf(c_0_795_0,axiom,
c_List_Olist__update(c_List_Olist__update(X2,X4,X3,X5),X4,X1,X5) = c_List_Olist__update(X2,X4,X1,X5),
inference(unfold_definition,[status(thm)],[c_0_795,def_lhs_atom53]) ).
cnf(c_0_796_0,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(unfold_definition,[status(thm)],[c_0_796,def_lhs_atom132]) ).
cnf(c_0_797_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X3,X4),X2,X4) = c_List_Oappend(X1,c_List_Oappend(X3,X2,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_797,def_lhs_atom131]) ).
cnf(c_0_798_0,axiom,
c_List_Oappend(X2,c_List_Oappend(X1,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X2,X1,X4),X3,X4),
inference(unfold_definition,[status(thm)],[c_0_798,def_lhs_atom130]) ).
cnf(c_0_799_0,axiom,
c_List_Oappend(c_List_Oappend(X3,X2,X4),X1,X4) = c_List_Oappend(X3,c_List_Oappend(X2,X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_799,def_lhs_atom129]) ).
cnf(c_0_800_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_800,def_lhs_atom111]) ).
cnf(c_0_801_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4) = c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_801,def_lhs_atom110]) ).
cnf(c_0_802_0,axiom,
c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4),
inference(unfold_definition,[status(thm)],[c_0_802,def_lhs_atom107]) ).
cnf(c_0_803_0,axiom,
c_List_Olist_OCons(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X3,X2,X4),X1,X4),
inference(unfold_definition,[status(thm)],[c_0_803,def_lhs_atom106]) ).
cnf(c_0_804_0,axiom,
c_List_Odrop(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Odrop(X3,X2,X4),c_List_Odrop(c_HOL_Ominus__class_Ominus(X3,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_804,def_lhs_atom91]) ).
cnf(c_0_805_0,axiom,
c_List_Otake(X3,c_List_Oappend(X2,X1,X4),X4) = c_List_Oappend(c_List_Otake(X3,X2,X4),c_List_Otake(c_HOL_Ominus__class_Ominus(X3,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_805,def_lhs_atom90]) ).
cnf(c_0_806_0,axiom,
c_List_Odrop(X2,c_List_Otake(X3,X1,X4),X4) = c_List_Otake(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_List_Odrop(X2,X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_806,def_lhs_atom68]) ).
cnf(c_0_807_0,axiom,
hAPP(c_List_Onth(c_List_Oappend(X2,c_List_Olist_OCons(X3,X1,X4),X4),X4),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))) = X3,
inference(unfold_definition,[status(thm)],[c_0_807,def_lhs_atom63]) ).
cnf(c_0_808_0,axiom,
c_List_Otake(X2,c_List_Odrop(X3,X1,X4),X4) = c_List_Odrop(X3,c_List_Otake(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_808,def_lhs_atom59]) ).
cnf(c_0_809_0,axiom,
c_List_Oappend(c_List_Oreplicate(X3,X2,X4),c_List_Olist_OCons(X2,X1,X4),X4) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X3,X2,X4),X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_809,def_lhs_atom55]) ).
cnf(c_0_810_0,axiom,
hAPP(c_List_Onth(c_List_Oappend(X2,X1,X4),X4),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),X3,tc_nat)) = hAPP(c_List_Onth(X1,X4),X3),
inference(unfold_definition,[status(thm)],[c_0_810,def_lhs_atom51]) ).
cnf(c_0_811_0,axiom,
c_List_Oreplicate(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,X4) = c_List_Oappend(c_List_Oreplicate(X2,X1,X4),c_List_Oreplicate(X3,X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_811,def_lhs_atom45]) ).
cnf(c_0_812_0,axiom,
c_List_Odrop(X2,c_List_Odrop(X3,X1,X4),X4) = c_List_Odrop(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,X4),
inference(unfold_definition,[status(thm)],[c_0_812,def_lhs_atom44]) ).
cnf(c_0_813_0,axiom,
c_List_Oappend(c_List_Oreplicate(X2,X1,X4),c_List_Oreplicate(X3,X1,X4),X4) = c_List_Oappend(c_List_Oreplicate(X3,X1,X4),c_List_Oreplicate(X2,X1,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_813,def_lhs_atom43]) ).
cnf(c_0_814_0,axiom,
c_List_Orotate(X3,c_List_Orotate(X2,X1,X4),X4) = c_List_Orotate(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,X4),
inference(unfold_definition,[status(thm)],[c_0_814,def_lhs_atom30]) ).
cnf(c_0_815_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X3,X2,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),
inference(unfold_definition,[status(thm)],[c_0_815,def_lhs_atom24]) ).
cnf(c_0_816_0,axiom,
c_List_Olist__update(c_List_Olist_OCons(X3,X2,X4),c_HOL_Ozero__class_Ozero(tc_nat),X1,X4) = c_List_Olist_OCons(X1,X2,X4),
inference(unfold_definition,[status(thm)],[c_0_816,def_lhs_atom23]) ).
cnf(c_0_817_0,axiom,
c_List_Odrop(X3,c_List_Oreplicate(X2,X1,X4),X4) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1,X4),
inference(unfold_definition,[status(thm)],[c_0_817,def_lhs_atom20]) ).
cnf(c_0_818_0,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(X2,X1,X4),X4),X3) = c_Nat_Onat_Onat__case(X2,c_List_Onth(X1,X4),X3,X4),
inference(unfold_definition,[status(thm)],[c_0_818,def_lhs_atom18]) ).
cnf(c_0_820_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(X2,X3),X1,X1,tc_Type_Oty,tc_Type_Oty),
inference(unfold_definition,[status(thm)],[c_0_820,def_lhs_atom139]) ).
cnf(c_0_821_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X2,X3),X1),X1)),
inference(unfold_definition,[status(thm)],[c_0_821,def_lhs_atom137]) ).
cnf(c_0_822_0,axiom,
c_List_Olist__all2(X1,c_List_Olist_ONil(X3),c_List_Olist_ONil(X2),X3,X2),
inference(unfold_definition,[status(thm)],[c_0_822,def_lhs_atom134]) ).
cnf(c_0_823_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_823,def_lhs_atom125]) ).
cnf(c_0_824_0,axiom,
c_List_Olist_ONil(X3) != c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_824,def_lhs_atom123]) ).
cnf(c_0_825_0,axiom,
c_List_Otake(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3) = X2,
inference(unfold_definition,[status(thm)],[c_0_825,def_lhs_atom121]) ).
cnf(c_0_826_0,axiom,
c_List_Orev(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Oappend(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),
inference(unfold_definition,[status(thm)],[c_0_826,def_lhs_atom113]) ).
cnf(c_0_827_0,axiom,
c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_827,def_lhs_atom109]) ).
cnf(c_0_828_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil(X3),
inference(unfold_definition,[status(thm)],[c_0_828,def_lhs_atom105]) ).
cnf(c_0_829_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != c_List_Olist_ONil(X3),
inference(unfold_definition,[status(thm)],[c_0_829,def_lhs_atom104]) ).
cnf(c_0_830_0,axiom,
c_List_Oappend(c_List_Otake(X2,X1,X3),c_List_Odrop(X2,X1,X3),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_830,def_lhs_atom103]) ).
cnf(c_0_831_0,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_831,def_lhs_atom102]) ).
cnf(c_0_832_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(unfold_definition,[status(thm)],[c_0_832,def_lhs_atom100]) ).
cnf(c_0_833_0,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_833,def_lhs_atom99]) ).
cnf(c_0_834_0,axiom,
c_List_Olist_OCons(X2,X1,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X2,X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_834,def_lhs_atom98]) ).
cnf(c_0_835_0,axiom,
c_List_Orev(c_List_Oappend(X2,X1,X3),X3) = c_List_Oappend(c_List_Orev(X1,X3),c_List_Orev(X2,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_835,def_lhs_atom94]) ).
cnf(c_0_836_0,axiom,
c_List_Orev(c_List_Otake(X2,X1,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X2,tc_nat),c_List_Orev(X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_836,def_lhs_atom93]) ).
cnf(c_0_837_0,axiom,
c_List_Orev(c_List_Odrop(X2,X1,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X2,tc_nat),c_List_Orev(X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_837,def_lhs_atom92]) ).
cnf(c_0_838_0,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_ONil(X3),
inference(unfold_definition,[status(thm)],[c_0_838,def_lhs_atom88]) ).
cnf(c_0_839_0,axiom,
c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),
inference(unfold_definition,[status(thm)],[c_0_839,def_lhs_atom87]) ).
cnf(c_0_840_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_840,def_lhs_atom84]) ).
cnf(c_0_841_0,axiom,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X2,X1,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_841,def_lhs_atom74]) ).
cnf(c_0_842_0,axiom,
c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X2,X1,X3),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_842,def_lhs_atom71]) ).
cnf(c_0_843_0,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Olist_OCons(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_843,def_lhs_atom70]) ).
cnf(c_0_844_0,axiom,
c_Nat_Osize__class_Osize(c_List_Odrop(X2,X1,X3),tc_List_Olist(X3)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_844,def_lhs_atom69]) ).
cnf(c_0_845_0,axiom,
c_List_Otl(c_List_Otake(X2,X1,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X2,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_845,def_lhs_atom66]) ).
cnf(c_0_846_0,axiom,
c_List_Oappend(c_List_Oreplicate(X2,X1,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X1,c_List_Oreplicate(X2,X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_846,def_lhs_atom61]) ).
cnf(c_0_847_0,axiom,
c_List_Orotate1(c_List_Olist_OCons(X2,X1,X3),X3) = c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),
inference(unfold_definition,[status(thm)],[c_0_847,def_lhs_atom60]) ).
cnf(c_0_848_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),c_Type_Oty_ONT),c_Type_Oty_OClass(X2))),
inference(unfold_definition,[status(thm)],[c_0_848,def_lhs_atom58]) ).
cnf(c_0_849_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oappend(X2,X1,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_849,def_lhs_atom57]) ).
cnf(c_0_850_0,axiom,
c_List_Orotate1(c_List_Orotate(X2,X1,X3),X3) = c_List_Orotate(X2,c_List_Orotate1(X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_850,def_lhs_atom52]) ).
cnf(c_0_851_0,axiom,
c_List_Olist__update(X1,X2,hAPP(c_List_Onth(X1,X3),X2),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_851,def_lhs_atom47]) ).
cnf(c_0_852_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oreplicate(X2,X1,X3),tc_List_Olist(X3)) = X2,
inference(unfold_definition,[status(thm)],[c_0_852,def_lhs_atom46]) ).
cnf(c_0_853_0,axiom,
c_List_Otl(c_List_Olist_OCons(X2,X1,X3),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_853,def_lhs_atom42]) ).
cnf(c_0_854_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate(X2,X1,X3),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),
inference(unfold_definition,[status(thm)],[c_0_854,def_lhs_atom37]) ).
cnf(c_0_855_0,axiom,
c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_855,def_lhs_atom36]) ).
cnf(c_0_856_0,axiom,
c_Nat_Onat_Onat__case(X2,X1,c_HOL_Ozero__class_Ozero(tc_nat),X3) = X2,
inference(unfold_definition,[status(thm)],[c_0_856,def_lhs_atom35]) ).
cnf(c_0_857_0,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(X2,X1,X3),X3),c_HOL_Ozero__class_Ozero(tc_nat)) = X2,
inference(unfold_definition,[status(thm)],[c_0_857,def_lhs_atom34]) ).
cnf(c_0_858_0,axiom,
c_List_Orev(c_List_Oreplicate(X2,X1,X3),X3) = c_List_Oreplicate(X2,X1,X3),
inference(unfold_definition,[status(thm)],[c_0_858,def_lhs_atom33]) ).
cnf(c_0_859_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
inference(unfold_definition,[status(thm)],[c_0_859,def_lhs_atom31]) ).
cnf(c_0_860_0,axiom,
c_List_Obutlast(c_List_Odrop(X2,X1,X3),X3) = c_List_Odrop(X2,c_List_Obutlast(X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_860,def_lhs_atom17]) ).
cnf(c_0_861_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X3),X2,X1,X3) = c_List_Olist_ONil(X3),
inference(unfold_definition,[status(thm)],[c_0_861,def_lhs_atom16]) ).
cnf(c_0_862_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X3),X2,X1,X3) = c_List_Olist_ONil(X3),
inference(unfold_definition,[status(thm)],[c_0_862,def_lhs_atom15]) ).
cnf(c_0_863_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X3),X2,X1,X3) = c_List_Olist_ONil(X3),
inference(unfold_definition,[status(thm)],[c_0_863,def_lhs_atom14]) ).
cnf(c_0_864_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_864,def_lhs_atom12]) ).
cnf(c_0_865_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_865,def_lhs_atom11]) ).
cnf(c_0_866_0,axiom,
c_List_Otl(c_List_Odrop(X2,X1,X3),X3) = c_List_Odrop(X2,c_List_Otl(X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_866,def_lhs_atom10]) ).
cnf(c_0_867_0,axiom,
c_List_Odrop(X2,c_List_Obutlast(X1,X3),X3) = c_List_Obutlast(c_List_Odrop(X2,X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_867,def_lhs_atom9]) ).
cnf(c_0_868_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_868,def_lhs_atom8]) ).
cnf(c_0_869_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_869,def_lhs_atom6]) ).
cnf(c_0_870_0,axiom,
c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_870,def_lhs_atom5]) ).
cnf(c_0_871_0,axiom,
c_List_Obutlast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Obutlast(X1,X3),
inference(unfold_definition,[status(thm)],[c_0_871,def_lhs_atom4]) ).
cnf(c_0_872_0,axiom,
c_List_Odrop(X2,c_List_Otl(X1,X3),X3) = c_List_Otl(c_List_Odrop(X2,X1,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_872,def_lhs_atom1]) ).
cnf(c_0_873_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X2),X1),X1)),
inference(unfold_definition,[status(thm)],[c_0_873,def_lhs_atom194]) ).
cnf(c_0_874_0,axiom,
c_List_Olist__all2(c_fequal(X2),X1,X1,X2,X2),
inference(unfold_definition,[status(thm)],[c_0_874,def_lhs_atom133]) ).
cnf(c_0_875_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(unfold_definition,[status(thm)],[c_0_875,def_lhs_atom127]) ).
cnf(c_0_876_0,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_876,def_lhs_atom122]) ).
cnf(c_0_877_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_877,def_lhs_atom119]) ).
cnf(c_0_878_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_878,def_lhs_atom120]) ).
cnf(c_0_879_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_879,def_lhs_atom119]) ).
cnf(c_0_880_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_880,def_lhs_atom118]) ).
cnf(c_0_881_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_881,def_lhs_atom118]) ).
cnf(c_0_882_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_882,def_lhs_atom116]) ).
cnf(c_0_883_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_883,def_lhs_atom117]) ).
cnf(c_0_884_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_884,def_lhs_atom116]) ).
cnf(c_0_885_0,axiom,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_885,def_lhs_atom115]) ).
cnf(c_0_886_0,axiom,
c_COMBI(X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_886,def_lhs_atom114]) ).
cnf(c_0_887_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(unfold_definition,[status(thm)],[c_0_887,def_lhs_atom112]) ).
cnf(c_0_888_0,axiom,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
inference(unfold_definition,[status(thm)],[c_0_888,def_lhs_atom97]) ).
cnf(c_0_889_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_889,def_lhs_atom83]) ).
cnf(c_0_890_0,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_890,def_lhs_atom81]) ).
cnf(c_0_891_0,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_891,def_lhs_atom72]) ).
cnf(c_0_892_0,axiom,
c_List_Obutlast(X1,X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
inference(unfold_definition,[status(thm)],[c_0_892,def_lhs_atom67]) ).
cnf(c_0_893_0,axiom,
c_Nat_Osize__class_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_893,def_lhs_atom65]) ).
cnf(c_0_894_0,axiom,
c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_894,def_lhs_atom64]) ).
cnf(c_0_895_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_895,def_lhs_atom56]) ).
cnf(c_0_896_0,axiom,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_896,def_lhs_atom54]) ).
cnf(c_0_897_0,axiom,
c_lessequals(X2,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_897,def_lhs_atom41]) ).
cnf(c_0_898_0,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_898,def_lhs_atom40]) ).
cnf(c_0_899_0,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_899,def_lhs_atom39]) ).
cnf(c_0_900_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(unfold_definition,[status(thm)],[c_0_900,def_lhs_atom38]) ).
cnf(c_0_901_0,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_901,def_lhs_atom21]) ).
cnf(c_0_902_0,axiom,
c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_902,def_lhs_atom32]) ).
cnf(c_0_903_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(unfold_definition,[status(thm)],[c_0_903,def_lhs_atom29]) ).
cnf(c_0_904_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X1,tc_nat) = X2,
inference(unfold_definition,[status(thm)],[c_0_904,def_lhs_atom28]) ).
cnf(c_0_905_0,axiom,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_905,def_lhs_atom22]) ).
cnf(c_0_906_0,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
inference(unfold_definition,[status(thm)],[c_0_906,def_lhs_atom21]) ).
cnf(c_0_907_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_907,def_lhs_atom7]) ).
cnf(c_0_908_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(unfold_definition,[status(thm)],[c_0_908,def_lhs_atom128]) ).
cnf(c_0_909_0,axiom,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
inference(unfold_definition,[status(thm)],[c_0_909,def_lhs_atom126]) ).
cnf(c_0_910_0,axiom,
c_Objects_Ohext(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_910,def_lhs_atom108]) ).
cnf(c_0_911_0,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
inference(unfold_definition,[status(thm)],[c_0_911,def_lhs_atom96]) ).
cnf(c_0_912_0,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(unfold_definition,[status(thm)],[c_0_912,def_lhs_atom95]) ).
cnf(c_0_913_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_913,def_lhs_atom85]) ).
cnf(c_0_914_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_914,def_lhs_atom82]) ).
cnf(c_0_915_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_915,def_lhs_atom80]) ).
cnf(c_0_916_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
inference(unfold_definition,[status(thm)],[c_0_916,def_lhs_atom79]) ).
cnf(c_0_917_0,axiom,
c_lessequals(X1,X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_917,def_lhs_atom77]) ).
cnf(c_0_918_0,axiom,
c_lessequals(X1,X1,tc_nat),
inference(unfold_definition,[status(thm)],[c_0_918,def_lhs_atom76]) ).
cnf(c_0_919_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_919,def_lhs_atom73]) ).
cnf(c_0_920_0,axiom,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(unfold_definition,[status(thm)],[c_0_920,def_lhs_atom50]) ).
cnf(c_0_921_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(X1),
inference(unfold_definition,[status(thm)],[c_0_921,def_lhs_atom49]) ).
cnf(c_0_922_0,axiom,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(unfold_definition,[status(thm)],[c_0_922,def_lhs_atom48]) ).
cnf(c_0_923_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
inference(unfold_definition,[status(thm)],[c_0_923,def_lhs_atom27]) ).
cnf(c_0_924_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(unfold_definition,[status(thm)],[c_0_924,def_lhs_atom26]) ).
cnf(c_0_925_0,axiom,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_925,def_lhs_atom25]) ).
cnf(c_0_926_0,axiom,
c_Type_Oty_OClass(X1) != c_Type_Oty_ONT,
inference(unfold_definition,[status(thm)],[c_0_926,def_lhs_atom13]) ).
cnf(c_0_927_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(unfold_definition,[status(thm)],[c_0_927,def_lhs_atom2]) ).
cnf(c_0_928_0,axiom,
class_Power_Opower(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_928,def_lhs_atom193]) ).
cnf(c_0_929_0,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_929,def_lhs_atom192]) ).
cnf(c_0_930_0,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_930,def_lhs_atom191]) ).
cnf(c_0_931_0,axiom,
class_Orderings_Oorder(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_931,def_lhs_atom190]) ).
cnf(c_0_932_0,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_932,def_lhs_atom189]) ).
cnf(c_0_933_0,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_933,def_lhs_atom188]) ).
cnf(c_0_934_0,axiom,
class_Nat_Osemiring__char__0(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_934,def_lhs_atom187]) ).
cnf(c_0_935_0,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_935,def_lhs_atom186]) ).
cnf(c_0_936_0,axiom,
class_Ring__and__Field_Oring__1(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_936,def_lhs_atom185]) ).
cnf(c_0_937_0,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_937,def_lhs_atom184]) ).
cnf(c_0_938_0,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_938,def_lhs_atom183]) ).
cnf(c_0_939_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_939,def_lhs_atom182]) ).
cnf(c_0_940_0,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_940,def_lhs_atom181]) ).
cnf(c_0_941_0,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_941,def_lhs_atom180]) ).
cnf(c_0_942_0,axiom,
class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_942,def_lhs_atom179]) ).
cnf(c_0_943_0,axiom,
class_Ring__and__Field_Osemiring__1(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_943,def_lhs_atom178]) ).
cnf(c_0_944_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_944,def_lhs_atom177]) ).
cnf(c_0_945_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_945,def_lhs_atom176]) ).
cnf(c_0_946_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_946,def_lhs_atom175]) ).
cnf(c_0_947_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_947,def_lhs_atom174]) ).
cnf(c_0_948_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_948,def_lhs_atom173]) ).
cnf(c_0_949_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_949,def_lhs_atom172]) ).
cnf(c_0_950_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_950,def_lhs_atom171]) ).
cnf(c_0_951_0,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_951,def_lhs_atom170]) ).
cnf(c_0_952_0,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_952,def_lhs_atom169]) ).
cnf(c_0_953_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_953,def_lhs_atom168]) ).
cnf(c_0_954_0,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_954,def_lhs_atom167]) ).
cnf(c_0_955_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_955,def_lhs_atom166]) ).
cnf(c_0_956_0,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_956,def_lhs_atom165]) ).
cnf(c_0_957_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_957,def_lhs_atom164]) ).
cnf(c_0_958_0,axiom,
class_Power_Opower(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_958,def_lhs_atom163]) ).
cnf(c_0_959_0,axiom,
class_Orderings_Oorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_959,def_lhs_atom162]) ).
cnf(c_0_960_0,axiom,
class_Orderings_Olinorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_960,def_lhs_atom161]) ).
cnf(c_0_961_0,axiom,
class_Orderings_Opreorder(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_961,def_lhs_atom160]) ).
cnf(c_0_962_0,axiom,
class_Nat_Osemiring__char__0(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_962,def_lhs_atom159]) ).
cnf(c_0_963_0,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_963,def_lhs_atom158]) ).
cnf(c_0_964_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_964,def_lhs_atom157]) ).
cnf(c_0_965_0,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_965,def_lhs_atom156]) ).
cnf(c_0_966_0,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_966,def_lhs_atom155]) ).
cnf(c_0_967_0,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_967,def_lhs_atom154]) ).
cnf(c_0_968_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_968,def_lhs_atom153]) ).
cnf(c_0_969_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_969,def_lhs_atom152]) ).
cnf(c_0_970_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_970,def_lhs_atom151]) ).
cnf(c_0_971_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_971,def_lhs_atom150]) ).
cnf(c_0_972_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_972,def_lhs_atom149]) ).
cnf(c_0_973_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_973,def_lhs_atom148]) ).
cnf(c_0_974_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_974,def_lhs_atom147]) ).
cnf(c_0_975_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_975,def_lhs_atom146]) ).
cnf(c_0_976_0,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_976,def_lhs_atom145]) ).
cnf(c_0_977_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_977,def_lhs_atom144]) ).
cnf(c_0_978_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_978,def_lhs_atom143]) ).
cnf(c_0_979_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
inference(unfold_definition,[status(thm)],[c_0_979,def_lhs_atom142]) ).
cnf(c_0_980_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
inference(unfold_definition,[status(thm)],[c_0_980,def_lhs_atom141]) ).
cnf(c_0_981_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,v_esa____,v_Us____),
inference(unfold_definition,[status(thm)],[c_0_981,def_lhs_atom140]) ).
cnf(c_0_982_0,axiom,
c_COMBI(v_P,t_a) = v_P,
inference(unfold_definition,[status(thm)],[c_0_982,def_lhs_atom138]) ).
cnf(c_0_983_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Us____,v_Ts____,tc_Type_Oty,tc_Type_Oty),
inference(unfold_definition,[status(thm)],[c_0_983,def_lhs_atom136]) ).
cnf(c_0_984_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
inference(unfold_definition,[status(thm)],[c_0_984,def_lhs_atom135]) ).
cnf(c_0_985_0,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
inference(unfold_definition,[status(thm)],[c_0_985,def_lhs_atom124]) ).
cnf(c_0_986_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
inference(unfold_definition,[status(thm)],[c_0_986,def_lhs_atom101]) ).
cnf(c_0_987_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(unfold_definition,[status(thm)],[c_0_987,def_lhs_atom89]) ).
cnf(c_0_988_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(unfold_definition,[status(thm)],[c_0_988,def_lhs_atom78]) ).
cnf(c_0_989_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(unfold_definition,[status(thm)],[c_0_989,def_lhs_atom3]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X74 = X75
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
file('<stdin>',cls_sees__method__fun_0) ).
fof(c_0_1_002,axiom,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X26 = X27
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
file('<stdin>',cls_sees__method__fun_1) ).
fof(c_0_2_003,axiom,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X73 = X52
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
file('<stdin>',cls_sees__method__fun_2) ).
fof(c_0_3_004,axiom,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X76 = X69
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
file('<stdin>',cls_sees__method__fun_3) ).
fof(c_0_4_005,axiom,
! [X52,X10,X27,X8,X68,X69,X70,X3] :
( c_TypeRel_OMethod(X8,X69,X68,X10,X27,X52,X69,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,X52,X69,X3) ),
file('<stdin>',cls_sees__method__idemp_0) ).
fof(c_0_5_006,axiom,
! [X66,X13,X20,X48,X67,X14,X10,X27,X8,X68,X11,X69,X70] :
( c_Progress_OWTrt_H(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14,X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X14)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,c_Pair(X66,X67,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,c_Type_Oty_OClass(X70)) ),
file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I12_J_0) ).
fof(c_0_6_007,axiom,
! [X66,X13,X20,X48,X67,X14,X10,X27,X8,X68,X11,X69,X70] :
( c_WellTypeRT_OWTrt(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14,X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X14)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,c_Pair(X66,X67,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,c_Type_Oty_OClass(X70)) ),
file('<stdin>',cls_WTrtCall_0) ).
fof(c_0_7_008,axiom,
! [X66,X20,X48,X67,X14,X10,X27,X8,X68,X11,X69,X70] :
( c_WellType_OWT(X8,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14,X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(X8,X11,X20,X14)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,c_Pair(X66,X67,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X8,X11,X48,c_Type_Oty_OClass(X70)) ),
file('<stdin>',cls_WTCall_0) ).
fof(c_0_8_009,axiom,
! [X6,X18,X7,X13,X8,X3] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X8,X13,X7,X18,X6,X3)),X18))
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X7,c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__Cons2_1) ).
fof(c_0_9_010,axiom,
! [X6,X18,X7,X13,X8,X3] :
( X7 = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X8,X13,X7,X18,X6,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X8,X13,X7,X18,X6,X3),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X7,c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__Cons2_0) ).
fof(c_0_10_011,axiom,
! [X47,X6,X7,X8,X9,X3] :
( X7 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X8,X7,X6,X47,X3,X9),c_List_Osko__List__Xlist__all2__append2__1__2(X8,X7,X6,X47,X3,X9),X3)
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append2_0) ).
fof(c_0_11_012,axiom,
! [X47,X6,X7,X8,X9,X3] :
( X47 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X8,X7,X6,X47,X3,X9),c_List_Osko__List__Xlist__all2__append1__1__2(X8,X7,X6,X47,X3,X9),X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
file('<stdin>',cls_list__all2__append1_0) ).
fof(c_0_12_013,axiom,
! [X6,X18,X7,X13,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X8,X13,X7,X18,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X7,c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__Cons2_2) ).
fof(c_0_13_014,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X6,c_List_Osko__List__Xlist__all2__append1__1__2(X8,X7,X6,X47,X3,X9),X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
file('<stdin>',cls_list__all2__append1_4) ).
fof(c_0_14_015,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,c_List_Osko__List__Xlist__all2__append1__1__1(X8,X7,X6,X47,X3,X9),X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
file('<stdin>',cls_list__all2__append1_3) ).
fof(c_0_15_016,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Osko__List__Xlist__all2__append2__1__2(X8,X7,X6,X47,X3,X9),X47,X3,X9)
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append2_4) ).
fof(c_0_16_017,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Osko__List__Xlist__all2__append2__1__1(X8,X7,X6,X47,X3,X9),X6,X3,X9)
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append2_3) ).
fof(c_0_17_018,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X8,X7,X6,X47,X3,X9),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append2_1) ).
fof(c_0_18_019,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X8,X7,X6,X47,X3,X9),tc_List_Olist(X9)) = c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3))
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
file('<stdin>',cls_list__all2__append1_1) ).
fof(c_0_19_020,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X8,X7,X6,X47,X3,X9),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X47,tc_List_Olist(X9))
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append2_2) ).
fof(c_0_20_021,axiom,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X8,X7,X6,X47,X3,X9),tc_List_Olist(X9)) = c_Nat_Osize__class_Osize(X6,tc_List_Olist(X3))
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
file('<stdin>',cls_list__all2__append1_2) ).
fof(c_0_21_022,axiom,
! [X10,X31] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X31,v_P,X10,v_es_Ha____,v_h_Ha____),X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X31,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X31,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('<stdin>',cls_IH_1) ).
fof(c_0_22_023,axiom,
! [X10,X11] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____),X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('<stdin>',cls_CallParams_Ohyps_I2_J_1) ).
fof(c_0_23_024,axiom,
! [X10,X11] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____),X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('<stdin>',cls_CallParams_I2_J_1) ).
fof(c_0_24_025,axiom,
! [X10,X11] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X11,v_es_Ha____,v_sko__local__XCallParams__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('<stdin>',cls_CallParams_I2_J_0) ).
fof(c_0_25_026,axiom,
! [X10,X31] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X31,v_es_Ha____,v_sko__local__XIH__1(X31,v_P,X10,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X31,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X31,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('<stdin>',cls_IH_0) ).
fof(c_0_26_027,axiom,
! [X10,X11] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X11,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('<stdin>',cls_CallParams_Ohyps_I2_J_0) ).
fof(c_0_27_028,axiom,
! [X6,X7,X17,X8,X3] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X17),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X8,X17,X7,X6,X3)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),X6,tc_Type_Oty,tc_Type_Oty) ),
file('<stdin>',cls_widens__Cons_1) ).
fof(c_0_28_029,axiom,
! [X6,X7,X17,X8,X3] :
( X6 = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X8,X17,X7,X6,X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X8,X17,X7,X6,X3),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),X6,tc_Type_Oty,tc_Type_Oty) ),
file('<stdin>',cls_widens__Cons_0) ).
fof(c_0_29_030,axiom,
! [X6,X7,X17,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X7,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X8,X17,X7,X6,X3),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),X6,tc_Type_Oty,tc_Type_Oty) ),
file('<stdin>',cls_widens__Cons_2) ).
fof(c_0_30_031,axiom,
! [X12,X13,X14,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X8,X14,X13,X12,X3),X14,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X14,tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__conv__map_1) ).
fof(c_0_31_032,axiom,
! [X13,X20,X48,X10,X27,X8,X68,X11] :
( c_Progress_OWTrt_H(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X10)
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,c_Type_Oty_ONT) ),
file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I13_J_0) ).
fof(c_0_32_033,axiom,
! [X13,X20,X48,X10,X27,X8,X68,X11] :
( c_WellTypeRT_OWTrt(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,c_Type_Oty_ONT) ),
file('<stdin>',cls_WTrtCallNT_0) ).
fof(c_0_33_034,axiom,
! [X6,X7,X33,X17,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X33,tc_List_Olist(X9)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X3))
| c_Nat_Osize__class_Osize(X17,tc_List_Olist(X9)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3))
| c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),c_List_Oappend(X17,X33,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X6,X33,X3,X9)
| ~ c_List_Olist__all2(X8,X7,X17,X3,X9) ),
file('<stdin>',cls_list__all2__append1_5) ).
fof(c_0_34_035,axiom,
! [X47,X6,X33,X17,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X33,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X47,tc_List_Olist(X9))
| c_Nat_Osize__class_Osize(X17,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,c_List_Oappend(X17,X33,X3),c_List_Oappend(X6,X47,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X33,X47,X3,X9)
| ~ c_List_Olist__all2(X8,X17,X6,X3,X9) ),
file('<stdin>',cls_list__all2__append2_5) ).
fof(c_0_35_036,axiom,
! [X12,X13,X14,X10,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X14,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X10,X14,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X10,tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__widens_0) ).
fof(c_0_36_037,axiom,
! [X6,X7,X12,X46,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,c_List_Oappend(X7,X46,X3),c_List_Oappend(X6,X12,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X46,X12,X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
file('<stdin>',cls_list__all2__append_2) ).
fof(c_0_37_038,axiom,
! [X13,X20,X48,X10,X27,X8,X11] :
( c_Progress_OWTrts_H(X8,X13,X11,c_List_Olist_OCons(X48,X20,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X27,X10,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X10)
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,X27) ),
file('<stdin>',cls_WTrt_H__WTrts_H_Ointros_I15_J_0) ).
fof(c_0_38_039,axiom,
! [X13,X20,X48,X10,X27,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X13,X11,c_List_Olist_OCons(X48,X20,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X27,X10,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27) ),
file('<stdin>',cls_WTrtCons_0) ).
fof(c_0_39_040,axiom,
! [X21,X22,X23,X24,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Oappend(X24,X22,X3),c_List_Oappend(X23,X21,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X22,X21,X3,X9)
| ~ c_List_Olist__all2(X8,X24,X23,X3,X9) ),
file('<stdin>',cls_list__all2__appendI_0) ).
fof(c_0_40_041,axiom,
! [X15,X10,X16,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X16,X15,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X10,X15,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X16,X10,tc_Type_Oty,tc_Type_Oty) ),
file('<stdin>',cls_widens__trans_0) ).
fof(c_0_41_042,axiom,
! [X6,X18,X33,X17,X13,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),c_List_Olist_OCons(X17,X33,tc_Value_Oval),c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X33,X6,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X17),X18)) ),
file('<stdin>',cls_confs__Cons2_3) ).
fof(c_0_42_043,axiom,
! [X36] :
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X36,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X36) ),
file('<stdin>',cls_that_0) ).
fof(c_0_43_044,axiom,
! [X7,X32,X33,X17,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),c_List_Olist_OCons(X33,X32,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X7,X32,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X17),X33)) ),
file('<stdin>',cls_widens__Cons_3) ).
fof(c_0_44_045,axiom,
! [X6,X7,X12,X46,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X46,X3),c_List_Oappend(X6,X12,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append_0) ).
fof(c_0_45_046,axiom,
! [X6,X7,X12,X46,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,X46,X12,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X46,X3),c_List_Oappend(X6,X12,X9),X3,X9) ),
file('<stdin>',cls_list__all2__append_1) ).
fof(c_0_46_047,axiom,
! [X6,X18,X33,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X33,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X33,X6,X3,X9)
| ~ hBOOL(hAPP(hAPP(X8,X17),X18)) ),
file('<stdin>',cls_list__all2__Cons2_3) ).
fof(c_0_47_048,axiom,
! [X7,X32,X33,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X33,X32,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X32,X3,X9)
| ~ hBOOL(hAPP(hAPP(X8,X17),X33)) ),
file('<stdin>',cls_list__all2__Cons1_3) ).
fof(c_0_48_049,axiom,
! [X6,X18,X7,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ hBOOL(hAPP(hAPP(X8,X17),X18)) ),
file('<stdin>',cls_list__all2__Cons_2) ).
fof(c_0_49_050,axiom,
! [X6,X18,X7,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9) ),
file('<stdin>',cls_list__all2__Cons_1) ).
fof(c_0_50_051,axiom,
! [X12,X19,X13,X10,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X19,X3),X12,X10,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X13,X19)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X10,tc_Value_Oval,tc_Type_Oty) ),
file('<stdin>',cls_confs__hext_0) ).
fof(c_0_51_052,axiom,
! [X30,X34,X35,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Odrop(X30,X35,X3),c_List_Odrop(X30,X34,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X35,X34,X3,X9) ),
file('<stdin>',cls_list__all2__dropI_0) ).
fof(c_0_52_053,axiom,
! [X6,X7,X30,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Otake(X30,X7,X3),c_List_Otake(X30,X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
file('<stdin>',cls_list__all2__takeI_0) ).
fof(c_0_53_054,axiom,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Orev(X7,X3),c_List_Orev(X6,X9),X3,X9) ),
file('<stdin>',cls_list__all2__rev_0) ).
fof(c_0_54_055,axiom,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Orev(X7,X3),X6,X3,X9)
| ~ c_List_Olist__all2(X8,X7,c_List_Orev(X6,X9),X3,X9) ),
file('<stdin>',cls_list__all2__rev1_1) ).
fof(c_0_55_056,axiom,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,c_List_Orev(X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Orev(X7,X3),X6,X3,X9) ),
file('<stdin>',cls_list__all2__rev1_0) ).
fof(c_0_56_057,axiom,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Orev(X7,X3),c_List_Orev(X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
file('<stdin>',cls_list__all2__rev_1) ).
fof(c_0_57_058,axiom,
! [X19,X13,X48,X27,X8,X11] :
( c_WellTypeRT_OWTrt(X8,X19,X11,X48,X27)
| ~ c_Objects_Ohext(X13,X19)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27) ),
file('<stdin>',cls_WTrt__hext__mono_0) ).
fof(c_0_58_059,axiom,
! [X19,X13,X20,X10,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X19,X11,X20,X10)
| ~ c_Objects_Ohext(X13,X19)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10) ),
file('<stdin>',cls_WTrts__hext__mono_0) ).
fof(c_0_59_060,axiom,
! [X13,X48,X27,X8,X11] :
( c_Progress_OWTrt_H(X8,X13,X11,X48,X27)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27) ),
file('<stdin>',cls_wt__wt_H_0) ).
fof(c_0_60_061,axiom,
! [X13,X48,X27,X8,X11] :
( c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27)
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,X27) ),
file('<stdin>',cls_wt_H__wt_0) ).
fof(c_0_61_062,axiom,
! [X13,X20,X10,X8,X11] :
( c_Progress_OWTrts_H(X8,X13,X11,X20,X10)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10) ),
file('<stdin>',cls_wts__wts_H_0) ).
fof(c_0_62_063,axiom,
! [X13,X20,X10,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X10) ),
file('<stdin>',cls_wts_H__wts_0) ).
fof(c_0_63_064,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X47,X3) = X7
| X47 = c_List_Olist_OCons(X17,X7,X3) ),
file('<stdin>',cls_append__eq__Cons__conv_3) ).
fof(c_0_64_065,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| c_List_Olist_OCons(X17,c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X3) = X6
| c_List_Olist_OCons(X17,X7,X3) = X47 ),
file('<stdin>',cls_Cons__eq__append__conv_2) ).
fof(c_0_65_066,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| X6 = c_List_Olist_OCons(X17,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X3)
| X47 = c_List_Olist_OCons(X17,X7,X3) ),
file('<stdin>',cls_append__eq__Cons__conv_2) ).
fof(c_0_66_067,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| X7 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X47,X3)
| c_List_Olist_OCons(X17,X7,X3) = X47 ),
file('<stdin>',cls_Cons__eq__append__conv_3) ).
fof(c_0_67_068,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| X7 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X47,X3)
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Cons__eq__append__conv_1) ).
fof(c_0_68_069,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| X6 = c_List_Olist_OCons(X17,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X3)
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__eq__Cons__conv_0) ).
fof(c_0_69_070,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X47,X3) = X7
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__eq__Cons__conv_1) ).
fof(c_0_70_071,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| c_List_Olist_OCons(X17,c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X3) = X6
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Cons__eq__append__conv_0) ).
fof(c_0_71_072,axiom,
! [X6,X18,X7,X17,X8,X9,X3] :
( hBOOL(hAPP(hAPP(X8,X17),X18))
| ~ c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9) ),
file('<stdin>',cls_list__all2__Cons_0) ).
fof(c_0_72_073,axiom,
! [X43,X44,X45,X3] :
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3),X3) != X43
| c_List_Otake(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3) != X44
| X45 != c_List_Otake(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3)
| c_List_Oappend(X45,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3),X3) = c_List_Oappend(X44,X43,X3) ),
file('<stdin>',cls_append__eq__append__conv__if_6) ).
fof(c_0_73_074,axiom,
! [X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
file('<stdin>',cls_list__all2__def_0) ).
fof(c_0_74_075,axiom,
! [X7,X8,X9,X3] :
( X7 = c_List_Olist_ONil(X3)
| ~ c_List_Olist__all2(X8,X7,c_List_Olist_ONil(X9),X3,X9) ),
file('<stdin>',cls_list__all2__Nil2_0) ).
fof(c_0_75_076,axiom,
! [X6,X8,X9,X3] :
( X6 = c_List_Olist_ONil(X9)
| ~ c_List_Olist__all2(X8,c_List_Olist_ONil(X3),X6,X3,X9) ),
file('<stdin>',cls_list__all2__Nil_0) ).
fof(c_0_76_077,axiom,
! [X6,X7,X3] :
( X7 = X6
| ~ c_List_Olist__all2(c_fequal(X3),X7,X6,X3,X3) ),
file('<stdin>',cls_list__all2__eq_1) ).
fof(c_0_77_078,axiom,
! [X78,X79,X8] :
( ~ hBOOL(hAPP(X8,c_Nat_Onat_Onat__case(X79,X78,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
| hBOOL(hAPP(X8,X79)) ),
file('<stdin>',cls_nat_Osplit_0) ).
fof(c_0_78_079,axiom,
! [X25,X13,X26,X27,X8,X3] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X25),X26))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X27),X26))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X25),X27)) ),
file('<stdin>',cls_conf__widen_0) ).
fof(c_0_79_080,axiom,
! [X13,X48,X27,X8,X11] :
( c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27)
| ~ c_WellType_OWT(X8,X11,X48,X27) ),
file('<stdin>',cls_WT__implies__WTrt_0) ).
fof(c_0_80_081,axiom,
! [X13,X20,X10,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_WellType_OWTs(X8,X11,X20,X10) ),
file('<stdin>',cls_WTs__implies__WTrts_0) ).
fof(c_0_81_082,axiom,
! [X7,X8,X3] :
( c_List_Olist__all2(X8,X7,X7,X3,X3)
| ~ hBOOL(hAPP(hAPP(X8,c_List_Osko__List__Xlist__all2__refl__1__1(X8,X3)),c_List_Osko__List__Xlist__all2__refl__1__1(X8,X3))) ),
file('<stdin>',cls_list__all2__refl_0) ).
fof(c_0_82_083,axiom,
! [X7,X61,X17,X72,X51,X3] :
( c_List_Olist__update(c_List_Olist__update(X7,X51,X17,X3),X72,X61,X3) = c_List_Olist__update(c_List_Olist__update(X7,X72,X61,X3),X51,X17,X3)
| X51 = X72 ),
file('<stdin>',cls_list__update__swap_0) ).
fof(c_0_83_084,axiom,
! [X25,X19,X13,X27,X8,X3] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X19,X3),X25),X27))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X25),X27))
| ~ c_Objects_Ohext(X13,X19) ),
file('<stdin>',cls_conf__hext_0) ).
fof(c_0_84_085,axiom,
! [X20,X48,X10,X27,X8,X11] :
( c_WellType_OWTs(X8,X11,c_List_Olist_OCons(X48,X20,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X27,X10,tc_Type_Oty))
| ~ c_WellType_OWTs(X8,X11,X20,X10)
| ~ c_WellType_OWT(X8,X11,X48,X27) ),
file('<stdin>',cls_WTCons_0) ).
fof(c_0_85_086,axiom,
! [X7,X17,X64,X51,X3] :
( hAPP(c_List_Onth(c_List_Olist__update(X7,X51,X17,X3),X3),X64) = hAPP(c_List_Onth(X7,X3),X64)
| X51 = X64 ),
file('<stdin>',cls_nth__list__update__neq_0) ).
fof(c_0_86_087,axiom,
! [X17,X23,X8] :
( ~ hBOOL(hAPP(X8,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X23,X17,tc_nat),X23,tc_nat)))
| hBOOL(hAPP(X8,X17)) ),
file('<stdin>',cls_nat__diff__split__asm_1) ).
fof(c_0_87_088,axiom,
! [X21,X23,X8] :
( ~ hBOOL(hAPP(X8,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X23,X21,tc_nat),X23,tc_nat)))
| hBOOL(hAPP(X8,X21)) ),
file('<stdin>',cls_nat__diff__split_1) ).
fof(c_0_88_089,axiom,
! [X7,X64,X51,X3] :
( c_List_Otake(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),X7,X3) = c_List_Oappend(c_List_Otake(X51,X7,X3),c_List_Otake(X64,c_List_Odrop(X51,X7,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_take__add_0) ).
fof(c_0_89_090,axiom,
! [X43,X44,X45,X3] :
( X45 != c_List_Otake(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3)
| c_List_Oappend(X45,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3),X3) = c_List_Oappend(X44,X43,X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_5) ).
fof(c_0_90_091,axiom,
! [X7,X17,X53,X3] :
( c_List_Obutlast(c_List_Olist__update(X7,X53,X17,X3),X3) = c_List_Olist__update(c_List_Obutlast(X7,X3),X53,X17,X3)
| X53 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
file('<stdin>',cls_butlast__list__update_1) ).
fof(c_0_91_092,axiom,
! [X44,X50,X45,X3] :
( c_List_Otake(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3) != X44
| c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat)
| c_List_Oappend(X45,X50,X3) = c_List_Oappend(X44,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3),X50,X3),X3) ),
file('<stdin>',cls_append__eq__append__conv__if_4) ).
fof(c_0_92_093,axiom,
! [X54,X55,X56,X57,X58,X59,X3] :
( c_Expr_Oexp_OCall(X59,X57,X55,X3) != c_Expr_Oexp_OCall(X58,X56,X54,X3)
| X59 = X58 ),
file('<stdin>',cls_exp_Osimps_I9_J_0) ).
fof(c_0_93_094,axiom,
! [X54,X55,X56,X57,X58,X59,X3] :
( c_Expr_Oexp_OCall(X59,X57,X55,X3) != c_Expr_Oexp_OCall(X58,X56,X54,X3)
| X57 = X56 ),
file('<stdin>',cls_exp_Osimps_I9_J_1) ).
fof(c_0_94_095,axiom,
! [X54,X55,X56,X57,X58,X59,X3] :
( c_Expr_Oexp_OCall(X59,X57,X55,X3) != c_Expr_Oexp_OCall(X58,X56,X54,X3)
| X55 = X54 ),
file('<stdin>',cls_exp_Osimps_I9_J_2) ).
fof(c_0_95_096,axiom,
! [X39,X23,X40,X24,X9,X3] :
( c_Pair(X24,X23,X3,X9) != c_Pair(X40,X39,X3,X9)
| X24 = X40 ),
file('<stdin>',cls_Pair__eq_0) ).
fof(c_0_96_097,axiom,
! [X39,X23,X40,X24,X9,X3] :
( c_Pair(X24,X23,X3,X9) != c_Pair(X40,X39,X3,X9)
| X23 = X39 ),
file('<stdin>',cls_Pair__eq_1) ).
fof(c_0_97_098,axiom,
! [X28,X27,X29,X8,X3] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X29),X27))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X28),X27))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X29),X28)) ),
file('<stdin>',cls_widen__trans_0) ).
fof(c_0_98_099,axiom,
! [X7,X30,X51,X3] :
( hAPP(c_List_Onth(c_List_Odrop(X30,X7,X3),X3),X51) = hAPP(c_List_Onth(X7,X3),c_HOL_Oplus__class_Oplus(X30,X51,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X30,X51,tc_nat),c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_nth__drop_0) ).
fof(c_0_99_100,axiom,
! [X7,X17,X25,X3] :
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3),X3)
| c_Int_Onumber__class_Onumber__of(X25,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_take__Cons__number__of_1) ).
fof(c_0_100_101,axiom,
! [X30,X52,X53] :
( c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),c_HOL_Ominus__class_Ominus(X30,X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat) ),
file('<stdin>',cls_le__diff__iff_0) ).
fof(c_0_101_102,axiom,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| X50 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_1) ).
fof(c_0_102_103,axiom,
! [X30,X24,X65,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Power_Opower__class_Opower(X24,X65,X3),c_Power_Opower__class_Opower(X24,X30,X3),X3)
| ~ c_lessequals(X24,c_HOL_Oone__class_Oone(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3)
| ~ c_lessequals(X30,X65,tc_nat) ),
file('<stdin>',cls_power__decreasing_0) ).
fof(c_0_103_104,axiom,
! [X6,X18,X7,X17,X3] :
( c_List_Oappend(X7,c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X6,c_List_Olist_OCons(X18,c_List_Olist_ONil(X3),X3),X3)
| X7 = X6 ),
file('<stdin>',cls_append1__eq__conv_0) ).
fof(c_0_104_105,axiom,
! [X6,X18,X7,X17,X3] :
( c_List_Oappend(X7,c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X6,c_List_Olist_OCons(X18,c_List_Olist_ONil(X3),X3),X3)
| X17 = X18 ),
file('<stdin>',cls_append1__eq__conv_1) ).
fof(c_0_105_106,axiom,
! [X7,X17,X30,X3] :
( c_List_Otake(X30,c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,c_List_Otake(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3),X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_take__Cons_H_1) ).
fof(c_0_106_107,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),c_HOL_Oplus__class_Oplus(X22,X21,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X21,X3),X3) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).
fof(c_0_107_108,axiom,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3),X50,X3) = X43
| c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_3) ).
fof(c_0_108_109,axiom,
! [X30,X52,X53] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),c_HOL_Ominus__class_Ominus(X30,X53,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat) ),
file('<stdin>',cls_le__diff__iff_1) ).
fof(c_0_109_110,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Oplus__class_Oplus(X23,X21,X3),X3)
| ~ c_lessequals(X22,X21,X3)
| ~ c_lessequals(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
file('<stdin>',cls_le__add__right__mono_0) ).
fof(c_0_110_111,axiom,
! [X53,X64,X51] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),X64,tc_nat)
| ~ c_lessequals(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_le__diff__conv2_0) ).
fof(c_0_111_112,axiom,
! [X53,X64,X51] :
( c_lessequals(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),X64,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_le__diff__conv2_1) ).
fof(c_0_112_113,axiom,
! [X7,X17,X25,X3] :
( hAPP(c_List_Onth(c_List_Olist_OCons(X17,X7,X3),X3),c_Int_Onumber__class_Onumber__of(X25,tc_nat)) = hAPP(c_List_Onth(X7,X3),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_Int_Onumber__class_Onumber__of(X25,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_nth__Cons__number__of_1) ).
fof(c_0_113_114,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
file('<stdin>',cls_add__le__cancel__right_0) ).
fof(c_0_114_115,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X22,X24,X3),c_HOL_Oplus__class_Oplus(X22,X23,X3),X3) ),
file('<stdin>',cls_add__le__cancel__left_0) ).
fof(c_0_115_116,axiom,
! [X30,X52,X53] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),c_HOL_Ominus__class_Ominus(X30,X53,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X52,X30,tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat) ),
file('<stdin>',cls_Nat_Odiff__diff__eq_0) ).
fof(c_0_116_117,axiom,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| X45 = c_List_Otake(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_0) ).
fof(c_0_117_118,axiom,
! [X30,X52,X53] :
( c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X53,X52,tc_nat),c_HOL_Oplus__class_Oplus(X53,X30,tc_nat),tc_nat) ),
file('<stdin>',cls_nat__add__left__cancel__le_0) ).
fof(c_0_118_119,axiom,
! [X30,X23,X24,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Power_Opower__class_Opower(X24,X30,X3),c_Power_Opower__class_Opower(X23,X30,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_power__mono_0) ).
fof(c_0_119_120,axiom,
! [X30,X24,X65,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Power_Opower__class_Opower(X24,X30,X3),c_Power_Opower__class_Opower(X24,X65,X3),X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X24,X3)
| ~ c_lessequals(X30,X65,tc_nat) ),
file('<stdin>',cls_power__increasing_0) ).
fof(c_0_120_121,axiom,
! [X30,X52,X53] :
( c_lessequals(X52,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X30,X52,tc_nat),X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X30,tc_nat) ),
file('<stdin>',cls_le__add__diff_0) ).
fof(c_0_121_122,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X21,X3),X3)
| ~ c_lessequals(X22,X21,X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_add__mono_0) ).
fof(c_0_122_123,axiom,
! [X7,X30,X3] :
( c_List_Obutlast(c_List_Otake(X30,X7,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3)
| ~ c_lessequals(X30,c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_butlast__take_0) ).
fof(c_0_123_124,axiom,
! [X62,X53,X64,X51] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),c_HOL_Oplus__class_Oplus(X64,X62,tc_nat),tc_nat)
| ~ c_lessequals(X53,X62,tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
file('<stdin>',cls_add__le__mono_0) ).
fof(c_0_124_125,axiom,
! [X7,X17,X25,X3] :
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3)
| c_Int_Onumber__class_Onumber__of(X25,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_drop__Cons__number__of_1) ).
fof(c_0_125_126,axiom,
! [X7,X17,X30,X3] :
( hAPP(c_List_Onth(c_List_Olist_OCons(X17,X7,X3),X3),X30) = hAPP(c_List_Onth(X7,X3),c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_nth__Cons_H_1) ).
fof(c_0_126_127,axiom,
! [X53,X51] :
( ~ c_lessequals(X51,c_HOL_Oplus__class_Oplus(X53,X51,tc_nat),tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X53,X51,tc_nat),X51,tc_nat) = X53 ),
file('<stdin>',cls_le__imp__diff__is__add_1) ).
fof(c_0_127_128,axiom,
! [X53,X64,X51] :
( c_lessequals(X64,c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat) ),
file('<stdin>',cls_le__diff__conv_0) ).
fof(c_0_128_129,axiom,
! [X53,X64,X51] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat)
| ~ c_lessequals(X64,c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),tc_nat) ),
file('<stdin>',cls_le__diff__conv_1) ).
fof(c_0_129_130,axiom,
! [X63,X18,X17,X77,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X63,X3),X3) != c_HOL_Oplus__class_Oplus(X18,X77,X3)
| c_HOL_Oplus__class_Oplus(X17,X63,X3) = X77 ),
file('<stdin>',cls_add__cancel__21_0) ).
fof(c_0_130_131,axiom,
! [X7,X17,X53,X3] :
( c_List_Olist__update(X7,X53,X17,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_list__update__nonempty_0) ).
fof(c_0_131_132,axiom,
! [X53,X64,X51] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),X53,tc_nat) = c_HOL_Oplus__class_Oplus(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_diff__add__assoc_0) ).
fof(c_0_132_133,axiom,
! [X53,X64,X51] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X64,X51,tc_nat),X53,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_diff__add__assoc2_0) ).
fof(c_0_133_134,axiom,
! [X53,X64,X51] :
( c_HOL_Ominus__class_Ominus(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),X64,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_diff__diff__right_0) ).
fof(c_0_134_135,axiom,
! [X53,X64,X51] :
( c_HOL_Oplus__class_Oplus(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),X53,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_add__diff__assoc_0) ).
fof(c_0_135_136,axiom,
! [X53,X64,X51] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X64,X51,tc_nat),X53,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
file('<stdin>',cls_add__diff__assoc2_0) ).
fof(c_0_136_137,axiom,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| c_List_Otake(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3) = X44
| c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_2) ).
fof(c_0_137_138,axiom,
! [X7,X17,X51,X3] :
( c_List_Olist__update(X7,X51,X17,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X51,tc_nat) ),
file('<stdin>',cls_list__update__beyond_0) ).
fof(c_0_138_139,axiom,
! [X47,X7,X3] :
( X7 != c_List_Otake(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X47,X3)
| c_List_Oappend(X7,c_List_Odrop(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X47,X3),X3) = X47 ),
file('<stdin>',cls_append__eq__conv__conj_2) ).
fof(c_0_139_140,axiom,
! [X17,X30,X71,X3] :
( c_Nat_Onat_Onat__case(X17,X71,X30,X3) = hAPP(X71,c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_Nitpick_Onat__case__def_1) ).
fof(c_0_140_141,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X24,X23,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
file('<stdin>',cls_add__nonneg__nonneg_0) ).
fof(c_0_141_142,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X23,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X24,c_HOL_Ozero__class_Ozero(X3),X3) ),
file('<stdin>',cls_add__nonpos__nonpos_0) ).
fof(c_0_142_143,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X22,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_add__le__cancel__right_1) ).
fof(c_0_143_144,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X22,X24,X3),c_HOL_Oplus__class_Oplus(X22,X23,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_add__le__cancel__left_1) ).
fof(c_0_144_145,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X22,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_add__right__mono_0) ).
fof(c_0_145_146,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X22,X24,X3),c_HOL_Oplus__class_Oplus(X22,X23,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_add__left__mono_0) ).
fof(c_0_146_147,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_lessequals(X23,c_HOL_Oplus__class_Oplus(X24,X22,X3),X3)
| ~ c_lessequals(X23,X22,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
file('<stdin>',cls_add__increasing_0) ).
fof(c_0_147_148,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_lessequals(X23,c_HOL_Oplus__class_Oplus(X24,X22,X3),X3)
| ~ c_lessequals(X23,X24,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X22,X3) ),
file('<stdin>',cls_add__increasing2_0) ).
fof(c_0_148_149,axiom,
! [X53,X64,X51] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),c_HOL_Oplus__class_Oplus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
file('<stdin>',cls_add__le__mono1_0) ).
fof(c_0_149_150,axiom,
! [X30,X52,X53] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X53,X52,tc_nat),c_HOL_Oplus__class_Oplus(X53,X30,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_nat__add__left__cancel__le_1) ).
fof(c_0_150_151,axiom,
! [X30,X52,X62] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X62,X30,tc_nat),c_HOL_Ominus__class_Ominus(X62,X52,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_diff__le__mono2_0) ).
fof(c_0_151_152,axiom,
! [X30,X52,X62] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X52,X62,tc_nat),c_HOL_Ominus__class_Ominus(X30,X62,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_diff__le__mono_0) ).
fof(c_0_152_153,axiom,
! [X30,X52,X53] :
( c_HOL_Ominus__class_Ominus(X52,X53,tc_nat) != c_HOL_Ominus__class_Ominus(X30,X53,tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat)
| X52 = X30 ),
file('<stdin>',cls_eq__diff__iff_0) ).
fof(c_0_153_154,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X24,X24,X3),X3) ),
file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_0) ).
fof(c_0_154_155,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X24,X24,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_0) ).
fof(c_0_155_156,axiom,
! [X63,X18,X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X63,X3),X3) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X63,X3),X3) ),
file('<stdin>',cls_add__cancel__21_1) ).
fof(c_0_156_157,axiom,
! [X63,X18,X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X63,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X17,X18,X3),X63,X3) ),
file('<stdin>',cls_class__semiring_Oadd__a_0) ).
fof(c_0_157_158,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).
fof(c_0_158_159,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) = c_HOL_Oplus__class_Oplus(X23,c_HOL_Oplus__class_Oplus(X24,X22,X3),X3) ),
file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).
fof(c_0_159_160,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Oab__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).
fof(c_0_160_161,axiom,
! [X21,X22,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X22,X21,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X22,X3),X21,X3) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).
fof(c_0_161_162,axiom,
! [X22,X23,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X22,X3),X23,X3) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).
fof(c_0_162_163,axiom,
! [X21,X22,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X22,X21,X3),X3) = c_HOL_Oplus__class_Oplus(X22,c_HOL_Oplus__class_Oplus(X24,X21,X3),X3) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).
fof(c_0_163_164,axiom,
! [X22,X23,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).
fof(c_0_164_165,axiom,
! [X7,X17,X30,X3] :
( c_List_Odrop(X30,c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_drop__Cons_H_1) ).
fof(c_0_165_166,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X24,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
file('<stdin>',cls_le__iff__diff__le__0_1) ).
fof(c_0_166_167,axiom,
! [X60,X18,X61,X17,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X18,X3) != c_HOL_Ominus__class_Ominus(X61,X60,X3)
| c_lessequals(X18,X17,X3)
| ~ c_lessequals(X60,X61,X3) ),
file('<stdin>',cls_le__eqI_1) ).
fof(c_0_167_168,axiom,
! [X60,X18,X61,X17,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X18,X3) != c_HOL_Ominus__class_Ominus(X61,X60,X3)
| c_lessequals(X60,X61,X3)
| ~ c_lessequals(X18,X17,X3) ),
file('<stdin>',cls_le__eqI_0) ).
fof(c_0_168_169,axiom,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Oring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X52,X30,tc_nat),X3) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3)
| ~ c_lessequals(X30,X52,tc_nat) ),
file('<stdin>',cls_of__nat__diff_0) ).
fof(c_0_169_170,axiom,
! [X6,X18,X7,X3] :
( c_List_Orev(X7,X3) != c_List_Olist_OCons(X18,X6,X3)
| X7 = c_List_Oappend(c_List_Orev(X6,X3),c_List_Olist_OCons(X18,c_List_Olist_ONil(X3),X3),X3) ),
file('<stdin>',cls_rev__eq__Cons__iff_0) ).
fof(c_0_170_171,axiom,
! [X7,X17,X25,X3] :
( c_Int_Onumber__class_Onumber__of(X25,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X17,X7,X3),X3),c_Int_Onumber__class_Onumber__of(X25,tc_nat)) = X17 ),
file('<stdin>',cls_nth__Cons__number__of_0) ).
fof(c_0_171_172,axiom,
! [X30,X52,X53] :
( c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X52,X53,tc_nat),X30,tc_nat) ),
file('<stdin>',cls_add__leE_1) ).
fof(c_0_172_173,axiom,
! [X30,X52,X53] :
( c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X52,X53,tc_nat),X30,tc_nat) ),
file('<stdin>',cls_add__leE_0) ).
fof(c_0_173_174,axiom,
! [X18,X17,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X18,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
| X18 = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_1) ).
fof(c_0_174_175,axiom,
! [X18,X17,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X18,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
| X17 = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_0) ).
fof(c_0_175_176,axiom,
! [X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_2) ).
fof(c_0_176_177,axiom,
! [X17,X30,X3] :
( c_List_Otl(c_List_Oreplicate(X30,X17,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X17,X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_tl__replicate_0) ).
fof(c_0_177_178,axiom,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Power_Opower__class_Opower(X24,X30,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
file('<stdin>',cls_zero__le__power_0) ).
fof(c_0_178_179,axiom,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Oone__class_Oone(X3),c_Power_Opower__class_Opower(X24,X30,X3),X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X24,X3) ),
file('<stdin>',cls_one__le__power_0) ).
fof(c_0_179_180,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X24,X24,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_1) ).
fof(c_0_180_181,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X24,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X24,c_HOL_Ozero__class_Ozero(X3),X3) ),
file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_1) ).
fof(c_0_181_182,axiom,
! [X7,X17,X25,X3] :
( c_Int_Onumber__class_Onumber__of(X25,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,X7,X3) ),
file('<stdin>',cls_drop__Cons__number__of_0) ).
fof(c_0_182_183,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ominus__class_Ominus(X24,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_le__iff__diff__le__0_0) ).
fof(c_0_183_184,axiom,
! [X64,X51] :
( ~ c_lessequals(X51,X64,tc_nat)
| X64 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X64,X51,tc_nat),X51,tc_nat) ),
file('<stdin>',cls_le__imp__diff__is__add_0) ).
fof(c_0_184_185,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X30,c_HOL_Ominus__class_Ominus(X52,X30,tc_nat),tc_nat) = X52
| ~ c_lessequals(X30,X52,tc_nat) ),
file('<stdin>',cls_le__add__diff__inverse_0) ).
fof(c_0_185_186,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X52,X30,tc_nat),X30,tc_nat) = X52
| ~ c_lessequals(X30,X52,tc_nat) ),
file('<stdin>',cls_le__add__diff__inverse2_0) ).
fof(c_0_186_187,axiom,
! [X30,X51] :
( c_HOL_Ominus__class_Ominus(X30,c_HOL_Ominus__class_Ominus(X30,X51,tc_nat),tc_nat) = X51
| ~ c_lessequals(X51,X30,tc_nat) ),
file('<stdin>',cls_diff__diff__cancel_0) ).
fof(c_0_187_188,axiom,
! [X52,X64,X51] :
( c_lessequals(X51,c_HOL_Oplus__class_Oplus(X52,X64,tc_nat),tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
file('<stdin>',cls_trans__le__add2_0) ).
fof(c_0_188_189,axiom,
! [X52,X64,X51] :
( c_lessequals(X51,c_HOL_Oplus__class_Oplus(X64,X52,tc_nat),tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
file('<stdin>',cls_trans__le__add1_0) ).
fof(c_0_189_190,axiom,
! [X63,X18,X17] :
( c_lessequals(X17,c_HOL_Oplus__class_Oplus(X18,X63,tc_nat),tc_nat)
| ~ c_lessequals(X17,X63,tc_nat) ),
file('<stdin>',cls_termination__basic__simps_I4_J_0) ).
fof(c_0_190_191,axiom,
! [X63,X18,X17] :
( c_lessequals(X17,c_HOL_Oplus__class_Oplus(X18,X63,tc_nat),tc_nat)
| ~ c_lessequals(X17,X18,tc_nat) ),
file('<stdin>',cls_termination__basic__simps_I3_J_0) ).
fof(c_0_191_192,axiom,
! [X63,X18,X17,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X17,X63,X3)
| ~ c_lessequals(X18,X63,X3)
| ~ c_lessequals(X17,X18,X3) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_192_193,axiom,
! [X63,X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X63,X17,X3)
| ~ c_lessequals(X63,X18,X3)
| ~ c_lessequals(X18,X17,X3) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_193_194,axiom,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X52,X30,tc_nat),X3) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3) ),
file('<stdin>',cls_of__nat__add_0) ).
fof(c_0_194_195,axiom,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3) ),
file('<stdin>',cls_of__nat__le__iff_0) ).
fof(c_0_195_196,axiom,
! [X53,X64,X51] :
( c_lessequals(X51,X53,tc_nat)
| ~ c_lessequals(X64,X53,tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
file('<stdin>',cls_le__trans_0) ).
fof(c_0_196_197,axiom,
! [X6,X18,X7,X30,X3] :
( c_List_Odrop(X30,X7,X3) != c_List_Olist_OCons(X18,X6,X3)
| hAPP(c_List_Onth(X7,X3),X30) = X18 ),
file('<stdin>',cls_nth__via__drop_0) ).
fof(c_0_197_198,axiom,
! [X7,X17,X25,X3] :
( c_Int_Onumber__class_Onumber__of(X25,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_take__Cons__number__of_0) ).
fof(c_0_198_199,axiom,
! [X7,X17,X3] :
( c_List_Obutlast(c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,c_List_Obutlast(X7,X3),X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_butlast_Osimps_I2_J_1) ).
fof(c_0_199_200,axiom,
! [X6,X7,X3] :
( c_List_Otl(c_List_Oappend(X7,X6,X3),X3) = c_List_Oappend(c_List_Otl(X7,X3),X6,X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_tl__append2_0) ).
fof(c_0_200_201,axiom,
! [X6,X7,X3] :
( c_List_Obutlast(c_List_Oappend(X7,X6,X3),X3) = c_List_Oappend(X7,c_List_Obutlast(X6,X3),X3)
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_butlast__append_1) ).
fof(c_0_201_202,axiom,
! [X7,X30,X3] :
( c_List_Orotate(X30,X7,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
file('<stdin>',cls_rotate__length01_0) ).
fof(c_0_202_203,axiom,
! [X7,X30,X3] :
( c_List_Odrop(X30,X7,X3) = c_List_Olist_ONil(X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X30,tc_nat) ),
file('<stdin>',cls_drop__all_0) ).
fof(c_0_203_204,axiom,
! [X7,X30,X3] :
( c_List_Otake(X30,X7,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X30,tc_nat) ),
file('<stdin>',cls_take__all_0) ).
fof(c_0_204_205,axiom,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3)
| ~ c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_of__nat__le__iff_1) ).
fof(c_0_205_206,axiom,
! [X63,X18,X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) != c_HOL_Oplus__class_Oplus(X17,X63,X3)
| X18 = X63 ),
file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).
fof(c_0_206_207,axiom,
! [X7,X30,X3] :
( c_List_Odrop(X30,X7,X3) != c_List_Olist_ONil(X3)
| c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X30,tc_nat) ),
file('<stdin>',cls_drop__eq__Nil_0) ).
fof(c_0_207_208,axiom,
! [X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| X17 = X18
| ~ c_lessequals(X17,X18,X3)
| ~ c_lessequals(X18,X17,X3) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_208_209,axiom,
! [X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| X17 = X18
| ~ c_lessequals(X18,X17,X3)
| ~ c_lessequals(X17,X18,X3) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_209_210,axiom,
! [X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| X17 = X18
| ~ c_lessequals(X18,X17,X3)
| ~ c_lessequals(X17,X18,X3) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_210_211,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X23,X3) != c_HOL_Oplus__class_Oplus(X24,X22,X3)
| X23 = X22 ),
file('<stdin>',cls_add__imp__eq_0) ).
fof(c_0_211_212,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X23,X3) != c_HOL_Oplus__class_Oplus(X24,X22,X3)
| X23 = X22 ),
file('<stdin>',cls_add__left__cancel_0) ).
fof(c_0_212_213,axiom,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(X23,X24,X3) != c_HOL_Oplus__class_Oplus(X22,X24,X3)
| X23 = X22 ),
file('<stdin>',cls_add__right__cancel_0) ).
fof(c_0_213_214,axiom,
! [X18,X33,X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X33,X18,X3) != c_HOL_Ominus__class_Ominus(X17,X17,X3)
| X33 = X18 ),
file('<stdin>',cls_eq__eqI_1) ).
fof(c_0_214_215,axiom,
! [X60,X61,X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) != c_HOL_Ominus__class_Ominus(X61,X60,X3)
| X61 = X60 ),
file('<stdin>',cls_eq__eqI_0) ).
fof(c_0_215_216,axiom,
! [X7,X17,X3] :
( c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3) != c_List_Orev(X7,X3)
| X7 = c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3) ),
file('<stdin>',cls_singleton__rev__conv_0) ).
fof(c_0_216_217,axiom,
! [X7,X17,X3] :
( c_List_Orev(X7,X3) != c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3)
| X7 = c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3) ),
file('<stdin>',cls_rev__singleton__conv_0) ).
fof(c_0_217_218,axiom,
! [X18,X17,X30,X52,X3] :
( c_List_Oreplicate(X52,X17,X3) != c_List_Oreplicate(X30,X18,X3)
| X17 = X18
| X52 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_replicate__eq__replicate_1) ).
fof(c_0_218_219,axiom,
! [X30,X52] :
( c_HOL_Ominus__class_Ominus(X30,X52,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X52 = X30 ),
file('<stdin>',cls_diffs0__imp__equal_0) ).
fof(c_0_219_220,axiom,
! [X18,X17,X30,X52,X3] :
( c_List_Oreplicate(X52,X17,X3) != c_List_Oreplicate(X30,X18,X3)
| X52 = X30 ),
file('<stdin>',cls_replicate__eq__replicate_0) ).
fof(c_0_220_221,axiom,
! [X47,X6,X7,X3] :
( c_List_Oappend(X6,X7,X3) != c_List_Oappend(X47,X7,X3)
| X6 = X47 ),
file('<stdin>',cls_append__same__eq_0) ).
fof(c_0_221_222,axiom,
! [X47,X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != c_List_Oappend(X7,X47,X3)
| X6 = X47 ),
file('<stdin>',cls_same__append__eq_0) ).
fof(c_0_222_223,axiom,
! [X41,X42,X40,X24,X3] :
( c_List_Olist_OCons(X24,X42,X3) != c_List_Olist_OCons(X40,X41,X3)
| X24 = X40 ),
file('<stdin>',cls_list_Oinject_0) ).
fof(c_0_223_224,axiom,
! [X41,X42,X40,X24,X3] :
( c_List_Olist_OCons(X24,X42,X3) != c_List_Olist_OCons(X40,X41,X3)
| X42 = X41 ),
file('<stdin>',cls_list_Oinject_1) ).
fof(c_0_224_225,axiom,
! [X30,X52] :
( X52 = X30
| ~ c_lessequals(X30,X52,tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_le__antisym_0) ).
fof(c_0_225_226,axiom,
! [X1,X2,X3] :
( X2 = X1
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_226_227,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X24,X23,X3),X23,X3) = X24 ),
file('<stdin>',cls_diff__add__cancel_0) ).
fof(c_0_227_228,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X23,X3) = X24 ),
file('<stdin>',cls_add__diff__cancel_0) ).
fof(c_0_228_229,axiom,
! [X63,X18,X17] :
( c_HOL_Oplus__class_Oplus(X17,X18,tc_nat) != c_HOL_Oplus__class_Oplus(X17,X63,tc_nat)
| X18 = X63 ),
file('<stdin>',cls_natgb_Oadd__cancel_0) ).
fof(c_0_229_230,axiom,
! [X30,X52,X53] :
( c_HOL_Oplus__class_Oplus(X52,X53,tc_nat) != c_HOL_Oplus__class_Oplus(X30,X53,tc_nat)
| X52 = X30 ),
file('<stdin>',cls_nat__add__right__cancel_0) ).
fof(c_0_230_231,axiom,
! [X30,X52,X53] :
( c_HOL_Oplus__class_Oplus(X53,X52,tc_nat) != c_HOL_Oplus__class_Oplus(X53,X30,tc_nat)
| X52 = X30 ),
file('<stdin>',cls_nat__add__left__cancel_0) ).
fof(c_0_231_232,axiom,
! [X7,X3] :
( c_List_Orotate1(X7,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
file('<stdin>',cls_rotate1__length01_0) ).
fof(c_0_232_233,axiom,
! [X30,X52] :
( c_HOL_Ominus__class_Ominus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_diff__is__0__eq_0) ).
fof(c_0_233_234,axiom,
! [X30,X52] :
( c_HOL_Ominus__class_Ominus(X52,X30,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_diff__is__0__eq_1) ).
fof(c_0_234_235,axiom,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| ~ class_Ring__and__Field_Ono__zero__divisors(X3)
| ~ class_Ring__and__Field_Omult__zero(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(X24,X30,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_power__eq__0__iff_0) ).
fof(c_0_235_236,axiom,
! [X24,X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| ~ class_Ring__and__Field_Ono__zero__divisors(X3)
| ~ class_Ring__and__Field_Omult__zero(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(X24,c_HOL_Ozero__class_Ozero(tc_nat),X3) != c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_power__eq__0__iff_1) ).
fof(c_0_236_237,axiom,
! [X18,X17,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X18,X17,X3)
| c_lessequals(X17,X18,X3) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_237_238,axiom,
! [X22,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,X22,X3) = c_HOL_Oplus__class_Oplus(X22,X24,X3) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).
fof(c_0_238_239,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X23,X3) = c_HOL_Oplus__class_Oplus(X23,X24,X3) ),
file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).
fof(c_0_239_240,axiom,
! [X18,X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) = c_HOL_Oplus__class_Oplus(X18,X17,X3) ),
file('<stdin>',cls_class__semiring_Oadd__c_0) ).
fof(c_0_240_241,axiom,
! [X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
file('<stdin>',cls_not__one__le__zero_0) ).
fof(c_0_241_242,axiom,
! [X18,X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Ominus__class_Ominus(X17,X18,X3) != c_HOL_Ozero__class_Ozero(X3)
| X17 = X18 ),
file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).
fof(c_0_242_243,axiom,
! [X17,X24,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| X17 != c_HOL_Oplus__class_Oplus(X17,X24,X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).
fof(c_0_243_244,axiom,
! [X30,X52] :
( c_lessequals(X30,X52,tc_nat)
| c_lessequals(X52,X30,tc_nat) ),
file('<stdin>',cls_nat__le__linear_0) ).
fof(c_0_244_245,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X24,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_double__eq__0__iff_0) ).
fof(c_0_245_246,axiom,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X3)
| c_Power_Opower__class_Opower(X24,X30,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_field__power__not__zero_0) ).
fof(c_0_246_247,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X24,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = X23 ),
file('<stdin>',cls_right__minus__eq_0) ).
fof(c_0_247_248,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X24,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = X23 ),
file('<stdin>',cls_eq__iff__diff__eq__0_1) ).
fof(c_0_248_249,axiom,
! [X7,X30,X3] :
( c_List_Otake(X30,X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_take__eq__Nil_0) ).
fof(c_0_249_250,axiom,
! [X7,X30,X3] :
( c_List_Orotate(X30,X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rotate__is__Nil__conv_0) ).
fof(c_0_250_251,axiom,
! [X6,X7,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X7,X6,X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__append__conv_0) ).
fof(c_0_251_252,axiom,
! [X6,X7,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X7,X6,X3)
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__append__conv_1) ).
fof(c_0_252_253,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__is__Nil__conv_0) ).
fof(c_0_253_254,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != c_List_Olist_ONil(X3)
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__is__Nil__conv_1) ).
fof(c_0_254_255,axiom,
! [X30,X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| ~ class_Ring__and__Field_Ono__zero__divisors(X3)
| ~ class_Ring__and__Field_Omult__zero(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X30,X3) = c_HOL_Ozero__class_Ozero(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_power__eq__0__iff_2) ).
fof(c_0_255_256,axiom,
! [X17,X30,X3] :
( c_List_Oreplicate(X30,X17,X3) != c_List_Olist_ONil(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_replicate__empty_0) ).
fof(c_0_256_257,axiom,
! [X17,X30,X3] :
( c_List_Olist_ONil(X3) != c_List_Oreplicate(X30,X17,X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_empty__replicate_0) ).
fof(c_0_257_258,axiom,
! [X30,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3) ),
file('<stdin>',cls_of__nat__0__le__iff_0) ).
fof(c_0_258_259,axiom,
! [X52,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X52,X3),X3) ),
file('<stdin>',cls_zero__le__imp__of__nat_0) ).
fof(c_0_259_260,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != X7
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__self__conv_0) ).
fof(c_0_260_261,axiom,
! [X6,X7,X3] :
( X7 != c_List_Oappend(X7,X6,X3)
| X6 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_self__append__conv_0) ).
fof(c_0_261_262,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != X6
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__self__conv2_0) ).
fof(c_0_262_263,axiom,
! [X6,X7,X3] :
( X6 != c_List_Oappend(X7,X6,X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_self__append__conv2_0) ).
fof(c_0_263_264,axiom,
! [X30] :
( X30 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X30,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
file('<stdin>',cls_le__0__eq_0) ).
fof(c_0_264_265,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X52 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_add__is__0_0) ).
fof(c_0_265_266,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_add__is__0_1) ).
fof(c_0_266_267,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X52,X30,tc_nat) != X52
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_add__eq__self__zero_0) ).
fof(c_0_267_268,axiom,
! [X17,X24] :
( X17 != c_HOL_Oplus__class_Oplus(X17,X24,tc_nat)
| X24 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_natgb_Oadd__r0__iff_0) ).
fof(c_0_268_269,axiom,
! [X30,X3] :
( ~ class_Ring__and__Field_Osemiring__0(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X30,X3) = c_HOL_Ozero__class_Ozero(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('<stdin>',cls_power__0__left_1) ).
fof(c_0_269_270,axiom,
! [X3] :
( ~ class_Ring__and__Field_Osemiring__0(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
file('<stdin>',cls_power__0__left_0) ).
fof(c_0_270_271,axiom,
! [X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_double__eq__0__iff_1) ).
fof(c_0_271_272,axiom,
! [X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| X17 = c_HOL_Oplus__class_Oplus(X17,c_HOL_Ozero__class_Ozero(X3),X3) ),
file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).
fof(c_0_272_273,axiom,
! [X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oone__class_Oone(X3),X3) ),
file('<stdin>',cls_zero__le__one_0) ).
fof(c_0_273_274,axiom,
! [X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).
fof(c_0_274_275,axiom,
! [X30,X3] :
( ~ class_OrderedGroup_Omonoid__mult(X3)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X3),X30,X3) = c_HOL_Oone__class_Oone(X3) ),
file('<stdin>',cls_power__one_0) ).
fof(c_0_275_276,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X24,X3) = X24 ),
file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).
fof(c_0_276_277,axiom,
! [X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X17,X3) = X17 ),
file('<stdin>',cls_class__semiring_Oadd__0_0) ).
fof(c_0_277_278,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).
fof(c_0_278_279,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Omonoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X24,X3) = X24 ),
file('<stdin>',cls_add__0__left_0) ).
fof(c_0_279_280,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Omonoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).
fof(c_0_280_281,axiom,
! [X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).
fof(c_0_281_282,axiom,
! [X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X24,X3) = X24 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).
fof(c_0_282_283,axiom,
! [X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_Power_Opower__class_Opower(X17,c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
file('<stdin>',cls_class__semiring_Opwr__0_0) ).
fof(c_0_283_284,axiom,
! [X24,X3] :
( ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(X24,c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
file('<stdin>',cls_power__0_0) ).
fof(c_0_284_285,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
file('<stdin>',cls_diff__0__right_0) ).
fof(c_0_285_286,axiom,
! [X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_Power_Opower__class_Opower(X17,c_HOL_Oone__class_Oone(tc_nat),X3) = X17 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I33_J_0) ).
fof(c_0_286_287,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Omonoid__mult(X3)
| c_Power_Opower__class_Opower(X24,c_HOL_Oone__class_Oone(tc_nat),X3) = X24 ),
file('<stdin>',cls_power__one__right_0) ).
fof(c_0_287_288,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X24,X24,X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_diff__self_0) ).
fof(c_0_288_289,axiom,
! [X17,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_right__minus__eq_1) ).
fof(c_0_289_290,axiom,
! [X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_eq__iff__diff__eq__0_0) ).
fof(c_0_290_291,axiom,
! [X17,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X17,X17,X3) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_291_292,axiom,
! [X17,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X17,X17,X3) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_292_293,axiom,
! [X18,X17,X3] :
( ~ class_Int_Oring__char__0(X3)
| ~ class_Int_Onumber__ring(X3)
| c_Int_Onumber__class_Onumber__of(X17,X3) != c_Int_Onumber__class_Onumber__of(X18,X3)
| X17 = X18 ),
file('<stdin>',cls_eq__number__of_0) ).
fof(c_0_293_294,axiom,
! [X49,X19,X13] :
( c_Objects_Ohext(X13,X49)
| ~ c_Objects_Ohext(X19,X49)
| ~ c_Objects_Ohext(X13,X19) ),
file('<stdin>',cls_hext__trans_0) ).
fof(c_0_294_295,axiom,
! [X30,X52,X3] :
( ~ class_Nat_Osemiring__char__0(X3)
| c_Nat_Osemiring__1__class_Oof__nat(X52,X3) != c_Nat_Osemiring__1__class_Oof__nat(X30,X3)
| X52 = X30 ),
file('<stdin>',cls_of__nat__eq__iff_0) ).
fof(c_0_295_296,axiom,
! [X6,X7,X3] :
( c_List_Orev(X7,X3) != c_List_Orev(X6,X3)
| X7 = X6 ),
file('<stdin>',cls_rev__is__rev__conv_0) ).
fof(c_0_296_297,axiom,
! [X37,X38,X3] :
( c_Expr_Oexp_OVal(X38,X3) != c_Expr_Oexp_OVal(X37,X3)
| X38 = X37 ),
file('<stdin>',cls_exp_Osimps_I3_J_0) ).
fof(c_0_297_298,axiom,
! [X7,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_length__0__conv_0) ).
fof(c_0_298_299,axiom,
! [X4,X5] :
( class_Orderings_Opreorder(tc_fun(X4,X5))
| ~ class_Orderings_Opreorder(X5) ),
file('<stdin>',clsarity_fun__Orderings_Opreorder) ).
fof(c_0_299_300,axiom,
! [X4,X5] :
( class_Orderings_Oorder(tc_fun(X4,X5))
| ~ class_Orderings_Oorder(X5) ),
file('<stdin>',clsarity_fun__Orderings_Oorder) ).
fof(c_0_300_301,axiom,
! [X7,X3] :
( c_List_Orotate1(X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rotate1__is__Nil__conv_0) ).
fof(c_0_301_302,axiom,
! [X7,X3] :
( c_List_Orev(X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rev__is__Nil__conv_0) ).
fof(c_0_302_303,axiom,
! [X7,X3] :
( c_List_Olist_ONil(X3) != c_List_Orev(X7,X3)
| X7 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__rev__conv_0) ).
fof(c_0_303_304,axiom,
! [X3] :
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
file('<stdin>',cls_of__nat__1_0) ).
fof(c_0_304_305,axiom,
! [X3] :
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_of__nat__0_0) ).
fof(c_0_305_306,axiom,
! [X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| c_HOL_Oone__class_Oone(X3) != c_HOL_Ozero__class_Ozero(X3) ),
file('<stdin>',cls_one__neq__zero_0) ).
fof(c_0_306_307,axiom,
! [X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| c_HOL_Ozero__class_Ozero(X3) != c_HOL_Oone__class_Oone(X3) ),
file('<stdin>',cls_zero__neq__one_0) ).
fof(c_0_307_308,axiom,
! [X41,X42] :
( c_Type_Oty_OClass(X42) != c_Type_Oty_OClass(X41)
| X42 = X41 ),
file('<stdin>',cls_ty_Oinject_0) ).
fof(c_0_308_309,plain,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X74 = X75
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_309_310,plain,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X26 = X27
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_310_311,plain,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X73 = X52
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_311_312,plain,
! [X73,X52,X26,X74,X75,X27,X8,X68,X76,X69,X70,X3] :
( X76 = X69
| ~ c_TypeRel_OMethod(X8,X70,X68,X74,X26,X73,X76,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X75,X27,X52,X69,X3) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_312_313,plain,
! [X52,X10,X27,X8,X68,X69,X70,X3] :
( c_TypeRel_OMethod(X8,X69,X68,X10,X27,X52,X69,X3)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,X52,X69,X3) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_313_314,plain,
! [X66,X13,X20,X48,X67,X14,X10,X27,X8,X68,X11,X69,X70] :
( c_Progress_OWTrt_H(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14,X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X14)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,c_Pair(X66,X67,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,c_Type_Oty_OClass(X70)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_314_315,plain,
! [X66,X13,X20,X48,X67,X14,X10,X27,X8,X68,X11,X69,X70] :
( c_WellTypeRT_OWTrt(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14,X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X14)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,c_Pair(X66,X67,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,c_Type_Oty_OClass(X70)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_315_316,plain,
! [X66,X20,X48,X67,X14,X10,X27,X8,X68,X11,X69,X70] :
( c_WellType_OWT(X8,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X14,X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(X8,X11,X20,X14)
| ~ c_TypeRel_OMethod(X8,X70,X68,X10,X27,c_Pair(X66,X67,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X69,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X8,X11,X48,c_Type_Oty_OClass(X70)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_316_317,plain,
! [X6,X18,X7,X13,X8,X3] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X8,X13,X7,X18,X6,X3)),X18))
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X7,c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_317_318,plain,
! [X6,X18,X7,X13,X8,X3] :
( X7 = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X8,X13,X7,X18,X6,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X8,X13,X7,X18,X6,X3),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X7,c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_318_319,plain,
! [X47,X6,X7,X8,X9,X3] :
( X7 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X8,X7,X6,X47,X3,X9),c_List_Osko__List__Xlist__all2__append2__1__2(X8,X7,X6,X47,X3,X9),X3)
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_319_320,plain,
! [X47,X6,X7,X8,X9,X3] :
( X47 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X8,X7,X6,X47,X3,X9),c_List_Osko__List__Xlist__all2__append1__1__2(X8,X7,X6,X47,X3,X9),X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_320_321,plain,
! [X6,X18,X7,X13,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X8,X13,X7,X18,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X7,c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_321_322,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X6,c_List_Osko__List__Xlist__all2__append1__1__2(X8,X7,X6,X47,X3,X9),X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_322_323,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,c_List_Osko__List__Xlist__all2__append1__1__1(X8,X7,X6,X47,X3,X9),X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_323_324,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Osko__List__Xlist__all2__append2__1__2(X8,X7,X6,X47,X3,X9),X47,X3,X9)
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_324_325,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Osko__List__Xlist__all2__append2__1__1(X8,X7,X6,X47,X3,X9),X6,X3,X9)
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_325_326,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X8,X7,X6,X47,X3,X9),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_326_327,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X8,X7,X6,X47,X3,X9),tc_List_Olist(X9)) = c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3))
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_327_328,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X8,X7,X6,X47,X3,X9),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X47,tc_List_Olist(X9))
| ~ c_List_Olist__all2(X8,X7,c_List_Oappend(X6,X47,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_328_329,plain,
! [X47,X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X8,X7,X6,X47,X3,X9),tc_List_Olist(X9)) = c_Nat_Osize__class_Osize(X6,tc_List_Olist(X3))
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),X47,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_329_330,plain,
! [X10,X31] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X31,v_P,X10,v_es_Ha____,v_h_Ha____),X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X31,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X31,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_330_331,plain,
! [X10,X11] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____),X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_331_332,plain,
! [X10,X11] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____),X10,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_332_333,plain,
! [X10,X11] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X11,v_es_Ha____,v_sko__local__XCallParams__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_333_334,plain,
! [X10,X31] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X31,v_es_Ha____,v_sko__local__XIH__1(X31,v_P,X10,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X31,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X31,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_334_335,plain,
! [X10,X11] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X11,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X11,v_P,X10,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X11,v_esa____,X10)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X11,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_335_336,plain,
! [X6,X7,X17,X8,X3] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X17),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X8,X17,X7,X6,X3)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),X6,tc_Type_Oty,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_336_337,plain,
! [X6,X7,X17,X8,X3] :
( X6 = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X8,X17,X7,X6,X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X8,X17,X7,X6,X3),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),X6,tc_Type_Oty,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_337_338,plain,
! [X6,X7,X17,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X7,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X8,X17,X7,X6,X3),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),X6,tc_Type_Oty,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_338_339,plain,
! [X12,X13,X14,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X8,X14,X13,X12,X3),X14,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X14,tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_339_340,plain,
! [X13,X20,X48,X10,X27,X8,X68,X11] :
( c_Progress_OWTrt_H(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X10)
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,c_Type_Oty_ONT) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_340_341,plain,
! [X13,X20,X48,X10,X27,X8,X68,X11] :
( c_WellTypeRT_OWTrt(X8,X13,X11,c_Expr_Oexp_OCall(X48,X68,X20,tc_List_Olist(tc_String_Ochar)),X27)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,c_Type_Oty_ONT) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_341_342,plain,
! [X6,X7,X33,X17,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X33,tc_List_Olist(X9)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X3))
| c_Nat_Osize__class_Osize(X17,tc_List_Olist(X9)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3))
| c_List_Olist__all2(X8,c_List_Oappend(X7,X6,X3),c_List_Oappend(X17,X33,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X6,X33,X3,X9)
| ~ c_List_Olist__all2(X8,X7,X17,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_342_343,plain,
! [X47,X6,X33,X17,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X33,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X47,tc_List_Olist(X9))
| c_Nat_Osize__class_Osize(X17,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,c_List_Oappend(X17,X33,X3),c_List_Oappend(X6,X47,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X33,X47,X3,X9)
| ~ c_List_Olist__all2(X8,X17,X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_343_344,plain,
! [X12,X13,X14,X10,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X14,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X10,X14,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X10,tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_344_345,plain,
! [X6,X7,X12,X46,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,c_List_Oappend(X7,X46,X3),c_List_Oappend(X6,X12,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X46,X12,X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_345_346,plain,
! [X13,X20,X48,X10,X27,X8,X11] :
( c_Progress_OWTrts_H(X8,X13,X11,c_List_Olist_OCons(X48,X20,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X27,X10,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X10)
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_346_347,plain,
! [X13,X20,X48,X10,X27,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X13,X11,c_List_Olist_OCons(X48,X20,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X27,X10,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_347_348,plain,
! [X21,X22,X23,X24,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Oappend(X24,X22,X3),c_List_Oappend(X23,X21,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X22,X21,X3,X9)
| ~ c_List_Olist__all2(X8,X24,X23,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_348_349,plain,
! [X15,X10,X16,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X16,X15,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X10,X15,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X16,X10,tc_Type_Oty,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_349_350,plain,
! [X6,X18,X33,X17,X13,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),c_List_Olist_OCons(X17,X33,tc_Value_Oval),c_List_Olist_OCons(X18,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X33,X6,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X17),X18)) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_350_351,plain,
! [X36] :
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X36,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X36) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_351_352,plain,
! [X7,X32,X33,X17,X8,X3] :
( c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),c_List_Olist_OCons(X17,X7,tc_Type_Oty),c_List_Olist_OCons(X33,X32,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X8,X3),X7,X32,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X17),X33)) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_352_353,plain,
! [X6,X7,X12,X46,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X46,X3),c_List_Oappend(X6,X12,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_353_354,plain,
! [X6,X7,X12,X46,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| c_List_Olist__all2(X8,X46,X12,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Oappend(X7,X46,X3),c_List_Oappend(X6,X12,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_354_355,plain,
! [X6,X18,X33,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X33,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X33,X6,X3,X9)
| ~ hBOOL(hAPP(hAPP(X8,X17),X18)) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_355_356,plain,
! [X7,X32,X33,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X33,X32,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X32,X3,X9)
| ~ hBOOL(hAPP(hAPP(X8,X17),X33)) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_356_357,plain,
! [X6,X18,X7,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ hBOOL(hAPP(hAPP(X8,X17),X18)) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_357_358,plain,
! [X6,X18,X7,X17,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_358_359,plain,
! [X12,X19,X13,X10,X8,X3] :
( c_List_Olist__all2(c_Conform_Oconf(X8,X19,X3),X12,X10,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X13,X19)
| ~ c_List_Olist__all2(c_Conform_Oconf(X8,X13,X3),X12,X10,tc_Value_Oval,tc_Type_Oty) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_359_360,plain,
! [X30,X34,X35,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Odrop(X30,X35,X3),c_List_Odrop(X30,X34,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X35,X34,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_360_361,plain,
! [X6,X7,X30,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Otake(X30,X7,X3),c_List_Otake(X30,X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_361_362,plain,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,X6,X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Orev(X7,X3),c_List_Orev(X6,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_362_363,plain,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Orev(X7,X3),X6,X3,X9)
| ~ c_List_Olist__all2(X8,X7,c_List_Orev(X6,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_363_364,plain,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,X7,c_List_Orev(X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,c_List_Orev(X7,X3),X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_364_365,plain,
! [X6,X7,X8,X9,X3] :
( c_List_Olist__all2(X8,c_List_Orev(X7,X3),c_List_Orev(X6,X9),X3,X9)
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_365_366,plain,
! [X19,X13,X48,X27,X8,X11] :
( c_WellTypeRT_OWTrt(X8,X19,X11,X48,X27)
| ~ c_Objects_Ohext(X13,X19)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_366_367,plain,
! [X19,X13,X20,X10,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X19,X11,X20,X10)
| ~ c_Objects_Ohext(X13,X19)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_367_368,plain,
! [X13,X48,X27,X8,X11] :
( c_Progress_OWTrt_H(X8,X13,X11,X48,X27)
| ~ c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_368_369,plain,
! [X13,X48,X27,X8,X11] :
( c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27)
| ~ c_Progress_OWTrt_H(X8,X13,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_369_370,plain,
! [X13,X20,X10,X8,X11] :
( c_Progress_OWTrts_H(X8,X13,X11,X20,X10)
| ~ c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_370_371,plain,
! [X13,X20,X10,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_Progress_OWTrts_H(X8,X13,X11,X20,X10) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_371_372,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X47,X3) = X7
| X47 = c_List_Olist_OCons(X17,X7,X3) ),
c_0_63 ).
fof(c_0_372_373,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| c_List_Olist_OCons(X17,c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X3) = X6
| c_List_Olist_OCons(X17,X7,X3) = X47 ),
c_0_64 ).
fof(c_0_373_374,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| X6 = c_List_Olist_OCons(X17,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X3)
| X47 = c_List_Olist_OCons(X17,X7,X3) ),
c_0_65 ).
fof(c_0_374_375,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| X7 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X47,X3)
| c_List_Olist_OCons(X17,X7,X3) = X47 ),
c_0_66 ).
fof(c_0_375_376,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| X7 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X47,X3)
| X6 = c_List_Olist_ONil(X3) ),
c_0_67 ).
fof(c_0_376_377,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| X6 = c_List_Olist_OCons(X17,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X3)
| X6 = c_List_Olist_ONil(X3) ),
c_0_68 ).
fof(c_0_377_378,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Oappend(X6,X47,X3) != c_List_Olist_OCons(X17,X7,X3)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X17,X7,X6,X47,X3),X47,X3) = X7
| X6 = c_List_Olist_ONil(X3) ),
c_0_69 ).
fof(c_0_378_379,axiom,
! [X47,X6,X7,X17,X3] :
( c_List_Olist_OCons(X17,X7,X3) != c_List_Oappend(X6,X47,X3)
| c_List_Olist_OCons(X17,c_List_Osko__List__XCons__eq__append__conv__1__1(X17,X7,X6,X47,X3),X3) = X6
| X6 = c_List_Olist_ONil(X3) ),
c_0_70 ).
fof(c_0_379_380,plain,
! [X6,X18,X7,X17,X8,X9,X3] :
( hBOOL(hAPP(hAPP(X8,X17),X18))
| ~ c_List_Olist__all2(X8,c_List_Olist_OCons(X17,X7,X3),c_List_Olist_OCons(X18,X6,X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_380_381,axiom,
! [X43,X44,X45,X3] :
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3),X3) != X43
| c_List_Otake(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3) != X44
| X45 != c_List_Otake(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3)
| c_List_Oappend(X45,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3),X3) = c_List_Oappend(X44,X43,X3) ),
c_0_72 ).
fof(c_0_381_382,plain,
! [X6,X7,X8,X9,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X6,tc_List_Olist(X9))
| ~ c_List_Olist__all2(X8,X7,X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_382_383,plain,
! [X7,X8,X9,X3] :
( X7 = c_List_Olist_ONil(X3)
| ~ c_List_Olist__all2(X8,X7,c_List_Olist_ONil(X9),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_383_384,plain,
! [X6,X8,X9,X3] :
( X6 = c_List_Olist_ONil(X9)
| ~ c_List_Olist__all2(X8,c_List_Olist_ONil(X3),X6,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_384_385,plain,
! [X6,X7,X3] :
( X7 = X6
| ~ c_List_Olist__all2(c_fequal(X3),X7,X6,X3,X3) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_385_386,plain,
! [X78,X79,X8] :
( ~ hBOOL(hAPP(X8,c_Nat_Onat_Onat__case(X79,X78,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
| hBOOL(hAPP(X8,X79)) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_386_387,plain,
! [X25,X13,X26,X27,X8,X3] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X25),X26))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X27),X26))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X25),X27)) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_387_388,plain,
! [X13,X48,X27,X8,X11] :
( c_WellTypeRT_OWTrt(X8,X13,X11,X48,X27)
| ~ c_WellType_OWT(X8,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_388_389,plain,
! [X13,X20,X10,X8,X11] :
( c_WellTypeRT_OWTrts(X8,X13,X11,X20,X10)
| ~ c_WellType_OWTs(X8,X11,X20,X10) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_389_390,plain,
! [X7,X8,X3] :
( c_List_Olist__all2(X8,X7,X7,X3,X3)
| ~ hBOOL(hAPP(hAPP(X8,c_List_Osko__List__Xlist__all2__refl__1__1(X8,X3)),c_List_Osko__List__Xlist__all2__refl__1__1(X8,X3))) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_390_391,axiom,
! [X7,X61,X17,X72,X51,X3] :
( c_List_Olist__update(c_List_Olist__update(X7,X51,X17,X3),X72,X61,X3) = c_List_Olist__update(c_List_Olist__update(X7,X72,X61,X3),X51,X17,X3)
| X51 = X72 ),
c_0_82 ).
fof(c_0_391_392,plain,
! [X25,X19,X13,X27,X8,X3] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X19,X3),X25),X27))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X8,X13,X3),X25),X27))
| ~ c_Objects_Ohext(X13,X19) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_392_393,plain,
! [X20,X48,X10,X27,X8,X11] :
( c_WellType_OWTs(X8,X11,c_List_Olist_OCons(X48,X20,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X27,X10,tc_Type_Oty))
| ~ c_WellType_OWTs(X8,X11,X20,X10)
| ~ c_WellType_OWT(X8,X11,X48,X27) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_393_394,axiom,
! [X7,X17,X64,X51,X3] :
( hAPP(c_List_Onth(c_List_Olist__update(X7,X51,X17,X3),X3),X64) = hAPP(c_List_Onth(X7,X3),X64)
| X51 = X64 ),
c_0_85 ).
fof(c_0_394_395,plain,
! [X17,X23,X8] :
( ~ hBOOL(hAPP(X8,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X23,X17,tc_nat),X23,tc_nat)))
| hBOOL(hAPP(X8,X17)) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_395_396,plain,
! [X21,X23,X8] :
( ~ hBOOL(hAPP(X8,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X23,X21,tc_nat),X23,tc_nat)))
| hBOOL(hAPP(X8,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_396_397,plain,
! [X7,X64,X51,X3] :
( c_List_Otake(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),X7,X3) = c_List_Oappend(c_List_Otake(X51,X7,X3),c_List_Otake(X64,c_List_Odrop(X51,X7,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_397_398,plain,
! [X43,X44,X45,X3] :
( X45 != c_List_Otake(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3)
| c_List_Oappend(X45,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3),X3) = c_List_Oappend(X44,X43,X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_398_399,axiom,
! [X7,X17,X53,X3] :
( c_List_Obutlast(c_List_Olist__update(X7,X53,X17,X3),X3) = c_List_Olist__update(c_List_Obutlast(X7,X3),X53,X17,X3)
| X53 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
c_0_90 ).
fof(c_0_399_400,axiom,
! [X44,X50,X45,X3] :
( c_List_Otake(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3) != X44
| c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat)
| c_List_Oappend(X45,X50,X3) = c_List_Oappend(X44,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3),X50,X3),X3) ),
c_0_91 ).
fof(c_0_400_401,axiom,
! [X54,X55,X56,X57,X58,X59,X3] :
( c_Expr_Oexp_OCall(X59,X57,X55,X3) != c_Expr_Oexp_OCall(X58,X56,X54,X3)
| X59 = X58 ),
c_0_92 ).
fof(c_0_401_402,axiom,
! [X54,X55,X56,X57,X58,X59,X3] :
( c_Expr_Oexp_OCall(X59,X57,X55,X3) != c_Expr_Oexp_OCall(X58,X56,X54,X3)
| X57 = X56 ),
c_0_93 ).
fof(c_0_402_403,axiom,
! [X54,X55,X56,X57,X58,X59,X3] :
( c_Expr_Oexp_OCall(X59,X57,X55,X3) != c_Expr_Oexp_OCall(X58,X56,X54,X3)
| X55 = X54 ),
c_0_94 ).
fof(c_0_403_404,axiom,
! [X39,X23,X40,X24,X9,X3] :
( c_Pair(X24,X23,X3,X9) != c_Pair(X40,X39,X3,X9)
| X24 = X40 ),
c_0_95 ).
fof(c_0_404_405,axiom,
! [X39,X23,X40,X24,X9,X3] :
( c_Pair(X24,X23,X3,X9) != c_Pair(X40,X39,X3,X9)
| X23 = X39 ),
c_0_96 ).
fof(c_0_405_406,plain,
! [X28,X27,X29,X8,X3] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X29),X27))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X28),X27))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X8,X3),X29),X28)) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_406_407,plain,
! [X7,X30,X51,X3] :
( hAPP(c_List_Onth(c_List_Odrop(X30,X7,X3),X3),X51) = hAPP(c_List_Onth(X7,X3),c_HOL_Oplus__class_Oplus(X30,X51,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X30,X51,tc_nat),c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_407_408,axiom,
! [X7,X17,X25,X3] :
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3),X3)
| c_Int_Onumber__class_Onumber__of(X25,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_99 ).
fof(c_0_408_409,plain,
! [X30,X52,X53] :
( c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),c_HOL_Ominus__class_Ominus(X30,X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_409_410,plain,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| X50 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3),X43,X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_410_411,plain,
! [X30,X24,X65,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Power_Opower__class_Opower(X24,X65,X3),c_Power_Opower__class_Opower(X24,X30,X3),X3)
| ~ c_lessequals(X24,c_HOL_Oone__class_Oone(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3)
| ~ c_lessequals(X30,X65,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_411_412,axiom,
! [X6,X18,X7,X17,X3] :
( c_List_Oappend(X7,c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X6,c_List_Olist_OCons(X18,c_List_Olist_ONil(X3),X3),X3)
| X7 = X6 ),
c_0_103 ).
fof(c_0_412_413,axiom,
! [X6,X18,X7,X17,X3] :
( c_List_Oappend(X7,c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X6,c_List_Olist_OCons(X18,c_List_Olist_ONil(X3),X3),X3)
| X17 = X18 ),
c_0_104 ).
fof(c_0_413_414,axiom,
! [X7,X17,X30,X3] :
( c_List_Otake(X30,c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,c_List_Otake(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3),X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_105 ).
fof(c_0_414_415,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),c_HOL_Oplus__class_Oplus(X22,X21,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X21,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_415_416,axiom,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3),X50,X3) = X43
| c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
c_0_107 ).
fof(c_0_416_417,plain,
! [X30,X52,X53] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),c_HOL_Ominus__class_Ominus(X30,X53,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_417_418,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Oplus__class_Oplus(X23,X21,X3),X3)
| ~ c_lessequals(X22,X21,X3)
| ~ c_lessequals(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_418_419,plain,
! [X53,X64,X51] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),X64,tc_nat)
| ~ c_lessequals(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_419_420,plain,
! [X53,X64,X51] :
( c_lessequals(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),X64,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_420_421,axiom,
! [X7,X17,X25,X3] :
( hAPP(c_List_Onth(c_List_Olist_OCons(X17,X7,X3),X3),c_Int_Onumber__class_Onumber__of(X25,tc_nat)) = hAPP(c_List_Onth(X7,X3),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_Int_Onumber__class_Onumber__of(X25,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_112 ).
fof(c_0_421_422,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_422_423,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X22,X24,X3),c_HOL_Oplus__class_Oplus(X22,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_423_424,plain,
! [X30,X52,X53] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),c_HOL_Ominus__class_Ominus(X30,X53,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X52,X30,tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_424_425,plain,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| X45 = c_List_Otake(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),X44,X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_425_426,plain,
! [X30,X52,X53] :
( c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X53,X52,tc_nat),c_HOL_Oplus__class_Oplus(X53,X30,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_426_427,plain,
! [X30,X23,X24,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Power_Opower__class_Opower(X24,X30,X3),c_Power_Opower__class_Opower(X23,X30,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_427_428,plain,
! [X30,X24,X65,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Power_Opower__class_Opower(X24,X30,X3),c_Power_Opower__class_Opower(X24,X65,X3),X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X24,X3)
| ~ c_lessequals(X30,X65,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_428_429,plain,
! [X30,X52,X53] :
( c_lessequals(X52,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X30,X52,tc_nat),X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_429_430,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X21,X3),X3)
| ~ c_lessequals(X22,X21,X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_430_431,plain,
! [X7,X30,X3] :
( c_List_Obutlast(c_List_Otake(X30,X7,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3)
| ~ c_lessequals(X30,c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_431_432,plain,
! [X62,X53,X64,X51] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),c_HOL_Oplus__class_Oplus(X64,X62,tc_nat),tc_nat)
| ~ c_lessequals(X53,X62,tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_432_433,axiom,
! [X7,X17,X25,X3] :
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3)
| c_Int_Onumber__class_Onumber__of(X25,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_124 ).
fof(c_0_433_434,axiom,
! [X7,X17,X30,X3] :
( hAPP(c_List_Onth(c_List_Olist_OCons(X17,X7,X3),X3),X30) = hAPP(c_List_Onth(X7,X3),c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_125 ).
fof(c_0_434_435,plain,
! [X53,X51] :
( ~ c_lessequals(X51,c_HOL_Oplus__class_Oplus(X53,X51,tc_nat),tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X53,X51,tc_nat),X51,tc_nat) = X53 ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_435_436,plain,
! [X53,X64,X51] :
( c_lessequals(X64,c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_436_437,plain,
! [X53,X64,X51] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat)
| ~ c_lessequals(X64,c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_437_438,plain,
! [X63,X18,X17,X77,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X63,X3),X3) != c_HOL_Oplus__class_Oplus(X18,X77,X3)
| c_HOL_Oplus__class_Oplus(X17,X63,X3) = X77 ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_438_439,axiom,
! [X7,X17,X53,X3] :
( c_List_Olist__update(X7,X53,X17,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_130 ).
fof(c_0_439_440,plain,
! [X53,X64,X51] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),X53,tc_nat) = c_HOL_Oplus__class_Oplus(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_440_441,plain,
! [X53,X64,X51] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X64,X51,tc_nat),X53,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_441_442,plain,
! [X53,X64,X51] :
( c_HOL_Ominus__class_Ominus(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),X64,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_442_443,plain,
! [X53,X64,X51] :
( c_HOL_Oplus__class_Oplus(X51,c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X51,X64,tc_nat),X53,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_443_444,plain,
! [X53,X64,X51] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X64,X53,tc_nat),X51,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X64,X51,tc_nat),X53,tc_nat)
| ~ c_lessequals(X53,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_444_445,axiom,
! [X43,X44,X50,X45,X3] :
( c_List_Oappend(X45,X50,X3) != c_List_Oappend(X44,X43,X3)
| c_List_Otake(c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),X45,X3) = X44
| c_lessequals(c_Nat_Osize__class_Osize(X45,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X44,tc_List_Olist(X3)),tc_nat) ),
c_0_136 ).
fof(c_0_445_446,plain,
! [X7,X17,X51,X3] :
( c_List_Olist__update(X7,X51,X17,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X51,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_446_447,axiom,
! [X47,X7,X3] :
( X7 != c_List_Otake(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X47,X3)
| c_List_Oappend(X7,c_List_Odrop(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X47,X3),X3) = X47 ),
c_0_138 ).
fof(c_0_447_448,axiom,
! [X17,X30,X71,X3] :
( c_Nat_Onat_Onat__case(X17,X71,X30,X3) = hAPP(X71,c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_139 ).
fof(c_0_448_449,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X24,X23,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_449_450,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X23,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X24,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_450_451,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X22,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_451_452,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X22,X24,X3),c_HOL_Oplus__class_Oplus(X22,X23,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_452_453,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X22,X3),c_HOL_Oplus__class_Oplus(X23,X22,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_453_454,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X22,X24,X3),c_HOL_Oplus__class_Oplus(X22,X23,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_454_455,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_lessequals(X23,c_HOL_Oplus__class_Oplus(X24,X22,X3),X3)
| ~ c_lessequals(X23,X22,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_455_456,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_lessequals(X23,c_HOL_Oplus__class_Oplus(X24,X22,X3),X3)
| ~ c_lessequals(X23,X24,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X22,X3) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_456_457,plain,
! [X53,X64,X51] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X51,X53,tc_nat),c_HOL_Oplus__class_Oplus(X64,X53,tc_nat),tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_457_458,plain,
! [X30,X52,X53] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X53,X52,tc_nat),c_HOL_Oplus__class_Oplus(X53,X30,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_458_459,plain,
! [X30,X52,X62] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X62,X30,tc_nat),c_HOL_Ominus__class_Ominus(X62,X52,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_459_460,plain,
! [X30,X52,X62] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X52,X62,tc_nat),c_HOL_Ominus__class_Ominus(X30,X62,tc_nat),tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_460_461,plain,
! [X30,X52,X53] :
( c_HOL_Ominus__class_Ominus(X52,X53,tc_nat) != c_HOL_Ominus__class_Ominus(X30,X53,tc_nat)
| ~ c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(X53,X52,tc_nat)
| X52 = X30 ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_461_462,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X24,X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_462_463,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X24,X24,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_463_464,plain,
! [X63,X18,X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X63,X3),X3) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X63,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_464_465,plain,
! [X63,X18,X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X63,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X17,X18,X3),X63,X3) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_465_466,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_466_467,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) = c_HOL_Oplus__class_Oplus(X23,c_HOL_Oplus__class_Oplus(X24,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_467_468,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Oab__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_468_469,plain,
! [X21,X22,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X22,X21,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X22,X3),X21,X3) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_469_470,plain,
! [X22,X23,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X22,X3),X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_470_471,plain,
! [X21,X22,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X22,X21,X3),X3) = c_HOL_Oplus__class_Oplus(X22,c_HOL_Oplus__class_Oplus(X24,X21,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_471_472,plain,
! [X22,X23,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X22,X3) = c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_472_473,axiom,
! [X7,X17,X30,X3] :
( c_List_Odrop(X30,c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X7,X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_164 ).
fof(c_0_473_474,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X24,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_474_475,plain,
! [X60,X18,X61,X17,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X18,X3) != c_HOL_Ominus__class_Ominus(X61,X60,X3)
| c_lessequals(X18,X17,X3)
| ~ c_lessequals(X60,X61,X3) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_475_476,plain,
! [X60,X18,X61,X17,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X18,X3) != c_HOL_Ominus__class_Ominus(X61,X60,X3)
| c_lessequals(X60,X61,X3)
| ~ c_lessequals(X18,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_476_477,plain,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Oring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X52,X30,tc_nat),X3) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3)
| ~ c_lessequals(X30,X52,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_477_478,axiom,
! [X6,X18,X7,X3] :
( c_List_Orev(X7,X3) != c_List_Olist_OCons(X18,X6,X3)
| X7 = c_List_Oappend(c_List_Orev(X6,X3),c_List_Olist_OCons(X18,c_List_Olist_ONil(X3),X3),X3) ),
c_0_169 ).
fof(c_0_478_479,axiom,
! [X7,X17,X25,X3] :
( c_Int_Onumber__class_Onumber__of(X25,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X17,X7,X3),X3),c_Int_Onumber__class_Onumber__of(X25,tc_nat)) = X17 ),
c_0_170 ).
fof(c_0_479_480,plain,
! [X30,X52,X53] :
( c_lessequals(X53,X30,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X52,X53,tc_nat),X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_480_481,plain,
! [X30,X52,X53] :
( c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X52,X53,tc_nat),X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_481_482,plain,
! [X18,X17,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X18,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
| X18 = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_482_483,plain,
! [X18,X17,X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X18,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
| X17 = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_483_484,plain,
! [X3] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_484_485,axiom,
! [X17,X30,X3] :
( c_List_Otl(c_List_Oreplicate(X30,X17,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X30,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X17,X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_176 ).
fof(c_0_485_486,plain,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Power_Opower__class_Opower(X24,X30,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_486_487,plain,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Oone__class_Oone(X3),c_Power_Opower__class_Opower(X24,X30,X3),X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_487_488,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oplus__class_Oplus(X24,X24,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_488_489,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X24,X24,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X24,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_489_490,axiom,
! [X7,X17,X25,X3] :
( c_Int_Onumber__class_Onumber__of(X25,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,X7,X3) ),
c_0_181 ).
fof(c_0_490_491,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ominus__class_Ominus(X24,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_491_492,plain,
! [X64,X51] :
( ~ c_lessequals(X51,X64,tc_nat)
| X64 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X64,X51,tc_nat),X51,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_492_493,plain,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X30,c_HOL_Ominus__class_Ominus(X52,X30,tc_nat),tc_nat) = X52
| ~ c_lessequals(X30,X52,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_493_494,plain,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X52,X30,tc_nat),X30,tc_nat) = X52
| ~ c_lessequals(X30,X52,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_494_495,plain,
! [X30,X51] :
( c_HOL_Ominus__class_Ominus(X30,c_HOL_Ominus__class_Ominus(X30,X51,tc_nat),tc_nat) = X51
| ~ c_lessequals(X51,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_495_496,plain,
! [X52,X64,X51] :
( c_lessequals(X51,c_HOL_Oplus__class_Oplus(X52,X64,tc_nat),tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_496_497,plain,
! [X52,X64,X51] :
( c_lessequals(X51,c_HOL_Oplus__class_Oplus(X64,X52,tc_nat),tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_497_498,plain,
! [X63,X18,X17] :
( c_lessequals(X17,c_HOL_Oplus__class_Oplus(X18,X63,tc_nat),tc_nat)
| ~ c_lessequals(X17,X63,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_498_499,plain,
! [X63,X18,X17] :
( c_lessequals(X17,c_HOL_Oplus__class_Oplus(X18,X63,tc_nat),tc_nat)
| ~ c_lessequals(X17,X18,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_499_500,plain,
! [X63,X18,X17,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X17,X63,X3)
| ~ c_lessequals(X18,X63,X3)
| ~ c_lessequals(X17,X18,X3) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_500_501,plain,
! [X63,X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X63,X17,X3)
| ~ c_lessequals(X63,X18,X3)
| ~ c_lessequals(X18,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_501_502,plain,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X52,X30,tc_nat),X3) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_502_503,plain,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(X52,X30,tc_nat)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_503_504,plain,
! [X53,X64,X51] :
( c_lessequals(X51,X53,tc_nat)
| ~ c_lessequals(X64,X53,tc_nat)
| ~ c_lessequals(X51,X64,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_504_505,axiom,
! [X6,X18,X7,X30,X3] :
( c_List_Odrop(X30,X7,X3) != c_List_Olist_OCons(X18,X6,X3)
| hAPP(c_List_Onth(X7,X3),X30) = X18 ),
c_0_196 ).
fof(c_0_505_506,axiom,
! [X7,X17,X25,X3] :
( c_Int_Onumber__class_Onumber__of(X25,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(c_Int_Onumber__class_Onumber__of(X25,tc_nat),c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_ONil(X3) ),
c_0_197 ).
fof(c_0_506_507,axiom,
! [X7,X17,X3] :
( c_List_Obutlast(c_List_Olist_OCons(X17,X7,X3),X3) = c_List_Olist_OCons(X17,c_List_Obutlast(X7,X3),X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_198 ).
fof(c_0_507_508,axiom,
! [X6,X7,X3] :
( c_List_Otl(c_List_Oappend(X7,X6,X3),X3) = c_List_Oappend(c_List_Otl(X7,X3),X6,X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_199 ).
fof(c_0_508_509,axiom,
! [X6,X7,X3] :
( c_List_Obutlast(c_List_Oappend(X7,X6,X3),X3) = c_List_Oappend(X7,c_List_Obutlast(X6,X3),X3)
| X6 = c_List_Olist_ONil(X3) ),
c_0_200 ).
fof(c_0_509_510,plain,
! [X7,X30,X3] :
( c_List_Orotate(X30,X7,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_510_511,plain,
! [X7,X30,X3] :
( c_List_Odrop(X30,X7,X3) = c_List_Olist_ONil(X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_511_512,plain,
! [X7,X30,X3] :
( c_List_Otake(X30,X7,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_512_513,plain,
! [X30,X52,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X52,X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3)
| ~ c_lessequals(X52,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_513_514,plain,
! [X63,X18,X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) != c_HOL_Oplus__class_Oplus(X17,X63,X3)
| X18 = X63 ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_514_515,axiom,
! [X7,X30,X3] :
( c_List_Odrop(X30,X7,X3) != c_List_Olist_ONil(X3)
| c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),X30,tc_nat) ),
c_0_206 ).
fof(c_0_515_516,plain,
! [X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| X17 = X18
| ~ c_lessequals(X17,X18,X3)
| ~ c_lessequals(X18,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_516_517,plain,
! [X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| X17 = X18
| ~ c_lessequals(X18,X17,X3)
| ~ c_lessequals(X17,X18,X3) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_517_518,plain,
! [X18,X17,X3] :
( ~ class_Orderings_Oorder(X3)
| X17 = X18
| ~ c_lessequals(X18,X17,X3)
| ~ c_lessequals(X17,X18,X3) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_518_519,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X23,X3) != c_HOL_Oplus__class_Oplus(X24,X22,X3)
| X23 = X22 ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_519_520,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X23,X3) != c_HOL_Oplus__class_Oplus(X24,X22,X3)
| X23 = X22 ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_520_521,plain,
! [X22,X23,X24,X3] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(X23,X24,X3) != c_HOL_Oplus__class_Oplus(X22,X24,X3)
| X23 = X22 ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_521_522,plain,
! [X18,X33,X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X33,X18,X3) != c_HOL_Ominus__class_Ominus(X17,X17,X3)
| X33 = X18 ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_522_523,plain,
! [X60,X61,X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) != c_HOL_Ominus__class_Ominus(X61,X60,X3)
| X61 = X60 ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_523_524,axiom,
! [X7,X17,X3] :
( c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3) != c_List_Orev(X7,X3)
| X7 = c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3) ),
c_0_215 ).
fof(c_0_524_525,axiom,
! [X7,X17,X3] :
( c_List_Orev(X7,X3) != c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3)
| X7 = c_List_Olist_OCons(X17,c_List_Olist_ONil(X3),X3) ),
c_0_216 ).
fof(c_0_525_526,axiom,
! [X18,X17,X30,X52,X3] :
( c_List_Oreplicate(X52,X17,X3) != c_List_Oreplicate(X30,X18,X3)
| X17 = X18
| X52 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_217 ).
fof(c_0_526_527,axiom,
! [X30,X52] :
( c_HOL_Ominus__class_Ominus(X30,X52,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X52 = X30 ),
c_0_218 ).
fof(c_0_527_528,axiom,
! [X18,X17,X30,X52,X3] :
( c_List_Oreplicate(X52,X17,X3) != c_List_Oreplicate(X30,X18,X3)
| X52 = X30 ),
c_0_219 ).
fof(c_0_528_529,axiom,
! [X47,X6,X7,X3] :
( c_List_Oappend(X6,X7,X3) != c_List_Oappend(X47,X7,X3)
| X6 = X47 ),
c_0_220 ).
fof(c_0_529_530,axiom,
! [X47,X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != c_List_Oappend(X7,X47,X3)
| X6 = X47 ),
c_0_221 ).
fof(c_0_530_531,axiom,
! [X41,X42,X40,X24,X3] :
( c_List_Olist_OCons(X24,X42,X3) != c_List_Olist_OCons(X40,X41,X3)
| X24 = X40 ),
c_0_222 ).
fof(c_0_531_532,axiom,
! [X41,X42,X40,X24,X3] :
( c_List_Olist_OCons(X24,X42,X3) != c_List_Olist_OCons(X40,X41,X3)
| X42 = X41 ),
c_0_223 ).
fof(c_0_532_533,plain,
! [X30,X52] :
( X52 = X30
| ~ c_lessequals(X30,X52,tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_533_534,plain,
! [X1,X2,X3] :
( X2 = X1
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X2),X1)) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_534_535,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X24,X23,X3),X23,X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_535_536,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X24,X23,X3),X23,X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_536_537,axiom,
! [X63,X18,X17] :
( c_HOL_Oplus__class_Oplus(X17,X18,tc_nat) != c_HOL_Oplus__class_Oplus(X17,X63,tc_nat)
| X18 = X63 ),
c_0_228 ).
fof(c_0_537_538,axiom,
! [X30,X52,X53] :
( c_HOL_Oplus__class_Oplus(X52,X53,tc_nat) != c_HOL_Oplus__class_Oplus(X30,X53,tc_nat)
| X52 = X30 ),
c_0_229 ).
fof(c_0_538_539,axiom,
! [X30,X52,X53] :
( c_HOL_Oplus__class_Oplus(X53,X52,tc_nat) != c_HOL_Oplus__class_Oplus(X53,X30,tc_nat)
| X52 = X30 ),
c_0_230 ).
fof(c_0_539_540,plain,
! [X7,X3] :
( c_List_Orotate1(X7,X3) = X7
| ~ c_lessequals(c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_540_541,axiom,
! [X30,X52] :
( c_HOL_Ominus__class_Ominus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_lessequals(X52,X30,tc_nat) ),
c_0_232 ).
fof(c_0_541_542,plain,
! [X30,X52] :
( c_HOL_Ominus__class_Ominus(X52,X30,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X52,X30,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_542_543,plain,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| ~ class_Ring__and__Field_Ono__zero__divisors(X3)
| ~ class_Ring__and__Field_Omult__zero(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(X24,X30,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_543_544,plain,
! [X24,X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| ~ class_Ring__and__Field_Ono__zero__divisors(X3)
| ~ class_Ring__and__Field_Omult__zero(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(X24,c_HOL_Ozero__class_Ozero(tc_nat),X3) != c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_544_545,plain,
! [X18,X17,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X18,X17,X3)
| c_lessequals(X17,X18,X3) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_545_546,plain,
! [X22,X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,X22,X3) = c_HOL_Oplus__class_Oplus(X22,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_546_547,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X23,X3) = c_HOL_Oplus__class_Oplus(X23,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_547_548,plain,
! [X18,X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X17,X18,X3) = c_HOL_Oplus__class_Oplus(X18,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_548_549,plain,
! [X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_549_550,plain,
! [X18,X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Ominus__class_Ominus(X17,X18,X3) != c_HOL_Ozero__class_Ozero(X3)
| X17 = X18 ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_550_551,plain,
! [X17,X24,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| X17 != c_HOL_Oplus__class_Oplus(X17,X24,X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_551_552,axiom,
! [X30,X52] :
( c_lessequals(X30,X52,tc_nat)
| c_lessequals(X52,X30,tc_nat) ),
c_0_243 ).
fof(c_0_552_553,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X24,X24,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_553_554,plain,
! [X30,X24,X3] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X3)
| c_Power_Opower__class_Opower(X24,X30,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_554_555,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X24,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_555_556,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X24,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
| X24 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_556_557,axiom,
! [X7,X30,X3] :
( c_List_Otake(X30,X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_248 ).
fof(c_0_557_558,axiom,
! [X7,X30,X3] :
( c_List_Orotate(X30,X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_249 ).
fof(c_0_558_559,axiom,
! [X6,X7,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X7,X6,X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_250 ).
fof(c_0_559_560,axiom,
! [X6,X7,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X7,X6,X3)
| X6 = c_List_Olist_ONil(X3) ),
c_0_251 ).
fof(c_0_560_561,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_252 ).
fof(c_0_561_562,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != c_List_Olist_ONil(X3)
| X6 = c_List_Olist_ONil(X3) ),
c_0_253 ).
fof(c_0_562_563,plain,
! [X30,X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| ~ class_Ring__and__Field_Ono__zero__divisors(X3)
| ~ class_Ring__and__Field_Omult__zero(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X30,X3) = c_HOL_Ozero__class_Ozero(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_563_564,axiom,
! [X17,X30,X3] :
( c_List_Oreplicate(X30,X17,X3) != c_List_Olist_ONil(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_255 ).
fof(c_0_564_565,axiom,
! [X17,X30,X3] :
( c_List_Olist_ONil(X3) != c_List_Oreplicate(X30,X17,X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_256 ).
fof(c_0_565_566,plain,
! [X30,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X30,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_566_567,plain,
! [X52,X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X52,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_567_568,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != X7
| X6 = c_List_Olist_ONil(X3) ),
c_0_259 ).
fof(c_0_568_569,axiom,
! [X6,X7,X3] :
( X7 != c_List_Oappend(X7,X6,X3)
| X6 = c_List_Olist_ONil(X3) ),
c_0_260 ).
fof(c_0_569_570,axiom,
! [X6,X7,X3] :
( c_List_Oappend(X7,X6,X3) != X6
| X7 = c_List_Olist_ONil(X3) ),
c_0_261 ).
fof(c_0_570_571,axiom,
! [X6,X7,X3] :
( X6 != c_List_Oappend(X7,X6,X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_262 ).
fof(c_0_571_572,plain,
! [X30] :
( X30 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X30,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_572_573,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X52 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_264 ).
fof(c_0_573_574,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X52,X30,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_265 ).
fof(c_0_574_575,axiom,
! [X30,X52] :
( c_HOL_Oplus__class_Oplus(X52,X30,tc_nat) != X52
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_266 ).
fof(c_0_575_576,axiom,
! [X17,X24] :
( X17 != c_HOL_Oplus__class_Oplus(X17,X24,tc_nat)
| X24 = c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_267 ).
fof(c_0_576_577,plain,
! [X30,X3] :
( ~ class_Ring__and__Field_Osemiring__0(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X30,X3) = c_HOL_Ozero__class_Ozero(X3)
| X30 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_268]) ).
fof(c_0_577_578,plain,
! [X3] :
( ~ class_Ring__and__Field_Osemiring__0(X3)
| ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_578_579,plain,
! [X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),c_HOL_Ozero__class_Ozero(X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_579_580,plain,
! [X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| X17 = c_HOL_Oplus__class_Oplus(X17,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_271]) ).
fof(c_0_580_581,plain,
! [X3] :
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_HOL_Oone__class_Oone(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_272]) ).
fof(c_0_581_582,plain,
! [X17,X3] :
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_273]) ).
fof(c_0_582_583,plain,
! [X30,X3] :
( ~ class_OrderedGroup_Omonoid__mult(X3)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X3),X30,X3) = c_HOL_Oone__class_Oone(X3) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_583_584,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X24,X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_584_585,plain,
! [X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X17,X3) = X17 ),
inference(fof_simplification,[status(thm)],[c_0_276]) ).
fof(c_0_585_586,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_277]) ).
fof(c_0_586_587,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Omonoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X24,X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_278]) ).
fof(c_0_587_588,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Omonoid__add(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_588_589,plain,
! [X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_589_590,plain,
! [X24,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X3),X24,X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_281]) ).
fof(c_0_590_591,plain,
! [X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_Power_Opower__class_Opower(X17,c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_591_592,plain,
! [X24,X3] :
( ~ class_Power_Opower(X3)
| c_Power_Opower__class_Opower(X24,c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_592_593,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X24,c_HOL_Ozero__class_Ozero(X3),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_593_594,plain,
! [X17,X3] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_Power_Opower__class_Opower(X17,c_HOL_Oone__class_Oone(tc_nat),X3) = X17 ),
inference(fof_simplification,[status(thm)],[c_0_285]) ).
fof(c_0_594_595,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Omonoid__mult(X3)
| c_Power_Opower__class_Opower(X24,c_HOL_Oone__class_Oone(tc_nat),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_286]) ).
fof(c_0_595_596,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X24,X24,X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_596_597,plain,
! [X17,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_288]) ).
fof(c_0_597_598,plain,
! [X17,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X17,X17,X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_289]) ).
fof(c_0_598_599,plain,
! [X17,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X17,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_290]) ).
fof(c_0_599_600,plain,
! [X17,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X17,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_291]) ).
fof(c_0_600_601,plain,
! [X18,X17,X3] :
( ~ class_Int_Oring__char__0(X3)
| ~ class_Int_Onumber__ring(X3)
| c_Int_Onumber__class_Onumber__of(X17,X3) != c_Int_Onumber__class_Onumber__of(X18,X3)
| X17 = X18 ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_601_602,plain,
! [X49,X19,X13] :
( c_Objects_Ohext(X13,X49)
| ~ c_Objects_Ohext(X19,X49)
| ~ c_Objects_Ohext(X13,X19) ),
inference(fof_simplification,[status(thm)],[c_0_293]) ).
fof(c_0_602_603,plain,
! [X30,X52,X3] :
( ~ class_Nat_Osemiring__char__0(X3)
| c_Nat_Osemiring__1__class_Oof__nat(X52,X3) != c_Nat_Osemiring__1__class_Oof__nat(X30,X3)
| X52 = X30 ),
inference(fof_simplification,[status(thm)],[c_0_294]) ).
fof(c_0_603_604,axiom,
! [X6,X7,X3] :
( c_List_Orev(X7,X3) != c_List_Orev(X6,X3)
| X7 = X6 ),
c_0_295 ).
fof(c_0_604_605,axiom,
! [X37,X38,X3] :
( c_Expr_Oexp_OVal(X38,X3) != c_Expr_Oexp_OVal(X37,X3)
| X38 = X37 ),
c_0_296 ).
fof(c_0_605_606,axiom,
! [X7,X3] :
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X3)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X7 = c_List_Olist_ONil(X3) ),
c_0_297 ).
fof(c_0_606_607,plain,
! [X4,X5] :
( class_Orderings_Opreorder(tc_fun(X4,X5))
| ~ class_Orderings_Opreorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_298]) ).
fof(c_0_607_608,plain,
! [X4,X5] :
( class_Orderings_Oorder(tc_fun(X4,X5))
| ~ class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_608_609,axiom,
! [X7,X3] :
( c_List_Orotate1(X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_300 ).
fof(c_0_609_610,axiom,
! [X7,X3] :
( c_List_Orev(X7,X3) != c_List_Olist_ONil(X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_301 ).
fof(c_0_610_611,axiom,
! [X7,X3] :
( c_List_Olist_ONil(X3) != c_List_Orev(X7,X3)
| X7 = c_List_Olist_ONil(X3) ),
c_0_302 ).
fof(c_0_611_612,plain,
! [X3] :
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X3) = c_HOL_Oone__class_Oone(X3) ),
inference(fof_simplification,[status(thm)],[c_0_303]) ).
fof(c_0_612_613,plain,
! [X3] :
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_613_614,plain,
! [X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| c_HOL_Oone__class_Oone(X3) != c_HOL_Ozero__class_Ozero(X3) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_614_615,plain,
! [X3] :
( ~ class_Ring__and__Field_Ozero__neq__one(X3)
| c_HOL_Ozero__class_Ozero(X3) != c_HOL_Oone__class_Oone(X3) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_615_616,axiom,
! [X41,X42] :
( c_Type_Oty_OClass(X42) != c_Type_Oty_OClass(X41)
| X42 = X41 ),
c_0_307 ).
fof(c_0_616_617,plain,
! [X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88] :
( X80 = X81
| ~ c_TypeRel_OMethod(X83,X87,X84,X80,X79,X77,X85,X88)
| ~ c_TypeRel_OMethod(X83,X87,X84,X81,X82,X78,X86,X88) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_308])])]) ).
fof(c_0_617_618,plain,
! [X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88] :
( X79 = X82
| ~ c_TypeRel_OMethod(X83,X87,X84,X80,X79,X77,X85,X88)
| ~ c_TypeRel_OMethod(X83,X87,X84,X81,X82,X78,X86,X88) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_309])])]) ).
fof(c_0_618_619,plain,
! [X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88] :
( X77 = X78
| ~ c_TypeRel_OMethod(X83,X87,X84,X80,X79,X77,X85,X88)
| ~ c_TypeRel_OMethod(X83,X87,X84,X81,X82,X78,X86,X88) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_310])])]) ).
fof(c_0_619_620,plain,
! [X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88] :
( X85 = X86
| ~ c_TypeRel_OMethod(X83,X87,X84,X80,X79,X77,X85,X88)
| ~ c_TypeRel_OMethod(X83,X87,X84,X81,X82,X78,X86,X88) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_311])])]) ).
fof(c_0_620_621,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78] :
( c_TypeRel_OMethod(X74,X76,X75,X72,X73,X71,X76,X78)
| ~ c_TypeRel_OMethod(X74,X77,X75,X72,X73,X71,X76,X78) ),
inference(variable_rename,[status(thm)],[c_0_312]) ).
fof(c_0_621_622,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83] :
( c_Progress_OWTrt_H(X79,X72,X81,c_Expr_Oexp_OCall(X74,X80,X73,tc_List_Olist(tc_String_Ochar)),X78)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X79,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X76,X77,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(X79,X72,X81,X73,X76)
| ~ c_TypeRel_OMethod(X79,X83,X80,X77,X78,c_Pair(X71,X75,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X82,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X79,X72,X81,X74,c_Type_Oty_OClass(X83)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_313])])]) ).
fof(c_0_622_623,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83] :
( c_WellTypeRT_OWTrt(X79,X72,X81,c_Expr_Oexp_OCall(X74,X80,X73,tc_List_Olist(tc_String_Ochar)),X78)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X79,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X76,X77,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(X79,X72,X81,X73,X76)
| ~ c_TypeRel_OMethod(X79,X83,X80,X77,X78,c_Pair(X71,X75,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X82,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X79,X72,X81,X74,c_Type_Oty_OClass(X83)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_314])])]) ).
fof(c_0_623_624,plain,
! [X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82] :
( c_WellType_OWT(X78,X80,c_Expr_Oexp_OCall(X73,X79,X72,tc_List_Olist(tc_String_Ochar)),X77)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X78,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X75,X76,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(X78,X80,X72,X75)
| ~ c_TypeRel_OMethod(X78,X82,X79,X76,X77,c_Pair(X71,X74,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X81,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X78,X80,X73,c_Type_Oty_OClass(X82)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_315])])]) ).
fof(c_0_624_625,plain,
! [X19,X20,X21,X22,X23,X24] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X23,X22,X24),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X23,X22,X21,X20,X19,X24)),X20))
| ~ c_List_Olist__all2(c_Conform_Oconf(X23,X22,X24),X21,c_List_Olist_OCons(X20,X19,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_316]) ).
fof(c_0_625_626,plain,
! [X19,X20,X21,X22,X23,X24] :
( X21 = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X23,X22,X21,X20,X19,X24),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X23,X22,X21,X20,X19,X24),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(X23,X22,X24),X21,c_List_Olist_OCons(X20,X19,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_317]) ).
fof(c_0_626_627,plain,
! [X48,X49,X50,X51,X52,X53] :
( X50 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X51,X50,X49,X48,X53,X52),c_List_Osko__List__Xlist__all2__append2__1__2(X51,X50,X49,X48,X53,X52),X53)
| ~ c_List_Olist__all2(X51,X50,c_List_Oappend(X49,X48,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_318]) ).
fof(c_0_627_628,plain,
! [X48,X49,X50,X51,X52,X53] :
( X48 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X51,X50,X49,X48,X53,X52),c_List_Osko__List__Xlist__all2__append1__1__2(X51,X50,X49,X48,X53,X52),X52)
| ~ c_List_Olist__all2(X51,c_List_Oappend(X50,X49,X53),X48,X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_319]) ).
fof(c_0_628_629,plain,
! [X19,X20,X21,X22,X23,X24] :
( c_List_Olist__all2(c_Conform_Oconf(X23,X22,X24),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X23,X22,X21,X20,X19,X24),X19,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X23,X22,X24),X21,c_List_Olist_OCons(X20,X19,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_320]) ).
fof(c_0_629_630,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_List_Olist__all2(X51,X49,c_List_Osko__List__Xlist__all2__append1__1__2(X51,X50,X49,X48,X53,X52),X53,X52)
| ~ c_List_Olist__all2(X51,c_List_Oappend(X50,X49,X53),X48,X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_321]) ).
fof(c_0_630_631,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_List_Olist__all2(X51,X50,c_List_Osko__List__Xlist__all2__append1__1__1(X51,X50,X49,X48,X53,X52),X53,X52)
| ~ c_List_Olist__all2(X51,c_List_Oappend(X50,X49,X53),X48,X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_322]) ).
fof(c_0_631_632,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_List_Olist__all2(X51,c_List_Osko__List__Xlist__all2__append2__1__2(X51,X50,X49,X48,X53,X52),X48,X53,X52)
| ~ c_List_Olist__all2(X51,X50,c_List_Oappend(X49,X48,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_323]) ).
fof(c_0_632_633,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_List_Olist__all2(X51,c_List_Osko__List__Xlist__all2__append2__1__1(X51,X50,X49,X48,X53,X52),X49,X53,X52)
| ~ c_List_Olist__all2(X51,X50,c_List_Oappend(X49,X48,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_324]) ).
fof(c_0_633_634,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X51,X50,X49,X48,X53,X52),tc_List_Olist(X53)) = c_Nat_Osize__class_Osize(X49,tc_List_Olist(X52))
| ~ c_List_Olist__all2(X51,X50,c_List_Oappend(X49,X48,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_325]) ).
fof(c_0_634_635,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X51,X50,X49,X48,X53,X52),tc_List_Olist(X52)) = c_Nat_Osize__class_Osize(X50,tc_List_Olist(X53))
| ~ c_List_Olist__all2(X51,c_List_Oappend(X50,X49,X53),X48,X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_326]) ).
fof(c_0_635_636,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X51,X50,X49,X48,X53,X52),tc_List_Olist(X53)) = c_Nat_Osize__class_Osize(X48,tc_List_Olist(X52))
| ~ c_List_Olist__all2(X51,X50,c_List_Oappend(X49,X48,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_327]) ).
fof(c_0_636_637,plain,
! [X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X51,X50,X49,X48,X53,X52),tc_List_Olist(X52)) = c_Nat_Osize__class_Osize(X49,tc_List_Olist(X53))
| ~ c_List_Olist__all2(X51,c_List_Oappend(X50,X49,X53),X48,X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_637_638,plain,
! [X32,X33] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X33,v_P,X32,v_es_Ha____,v_h_Ha____),X32,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X33,v_esa____,X32)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X33,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(variable_rename,[status(thm)],[c_0_329]) ).
fof(c_0_638_639,plain,
! [X12,X13] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X13,v_P,X12,v_es_Ha____,v_h_Ha____),X12,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X13,v_esa____,X12)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X13,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(variable_rename,[status(thm)],[c_0_330]) ).
fof(c_0_639_640,plain,
! [X12,X13] :
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X13,v_P,X12,v_es_Ha____,v_h_Ha____),X12,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X13,v_esa____,X12)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X13,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(variable_rename,[status(thm)],[c_0_331]) ).
fof(c_0_640_641,plain,
! [X12,X13] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X13,v_es_Ha____,v_sko__local__XCallParams__2__1(X13,v_P,X12,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X13,v_esa____,X12)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X13,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_641_642,plain,
! [X32,X33] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X33,v_es_Ha____,v_sko__local__XIH__1(X33,v_P,X32,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X33,v_esa____,X32)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X33,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(variable_rename,[status(thm)],[c_0_333]) ).
fof(c_0_642_643,plain,
! [X12,X13] :
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X13,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X13,v_P,X12,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X13,v_esa____,X12)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X13,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
inference(variable_rename,[status(thm)],[c_0_334]) ).
fof(c_0_643_644,plain,
! [X18,X19,X20,X21,X22] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X21,X22),X20),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X21,X20,X19,X18,X22)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X21,X22),c_List_Olist_OCons(X20,X19,tc_Type_Oty),X18,tc_Type_Oty,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_335]) ).
fof(c_0_644_645,plain,
! [X18,X19,X20,X21,X22] :
( X18 = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X21,X20,X19,X18,X22),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X21,X20,X19,X18,X22),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X21,X22),c_List_Olist_OCons(X20,X19,tc_Type_Oty),X18,tc_Type_Oty,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_336]) ).
fof(c_0_645_646,plain,
! [X18,X19,X20,X21,X22] :
( c_List_Olist__all2(c_TypeRel_Owiden(X21,X22),X19,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X21,X20,X19,X18,X22),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X21,X22),c_List_Olist_OCons(X20,X19,tc_Type_Oty),X18,tc_Type_Oty,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_337]) ).
fof(c_0_646_647,plain,
! [X15,X16,X17,X18,X19] :
( c_List_Olist__all2(c_TypeRel_Owiden(X18,X19),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X18,X17,X16,X15,X19),X17,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X18,X16,X19),X15,X17,tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_338]) ).
fof(c_0_647_648,plain,
! [X69,X70,X71,X72,X73,X74,X75,X76] :
( c_Progress_OWTrt_H(X74,X69,X76,c_Expr_Oexp_OCall(X71,X75,X70,tc_List_Olist(tc_String_Ochar)),X73)
| ~ c_Progress_OWTrts_H(X74,X69,X76,X70,X72)
| ~ c_Progress_OWTrt_H(X74,X69,X76,X71,c_Type_Oty_ONT) ),
inference(variable_rename,[status(thm)],[c_0_339]) ).
fof(c_0_648_649,plain,
! [X69,X70,X71,X72,X73,X74,X75,X76] :
( c_WellTypeRT_OWTrt(X74,X69,X76,c_Expr_Oexp_OCall(X71,X75,X70,tc_List_Olist(tc_String_Ochar)),X73)
| ~ c_WellTypeRT_OWTrts(X74,X69,X76,X70,X72)
| ~ c_WellTypeRT_OWTrt(X74,X69,X76,X71,c_Type_Oty_ONT) ),
inference(variable_rename,[status(thm)],[c_0_340]) ).
fof(c_0_649_650,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_Nat_Osize__class_Osize(X36,tc_List_Olist(X39)) != c_Nat_Osize__class_Osize(X34,tc_List_Olist(X40))
| c_Nat_Osize__class_Osize(X37,tc_List_Olist(X39)) != c_Nat_Osize__class_Osize(X35,tc_List_Olist(X40))
| c_List_Olist__all2(X38,c_List_Oappend(X35,X34,X40),c_List_Oappend(X37,X36,X39),X40,X39)
| ~ c_List_Olist__all2(X38,X34,X36,X40,X39)
| ~ c_List_Olist__all2(X38,X35,X37,X40,X39) ),
inference(variable_rename,[status(thm)],[c_0_341]) ).
fof(c_0_650_651,plain,
! [X48,X49,X50,X51,X52,X53,X54] :
( c_Nat_Osize__class_Osize(X50,tc_List_Olist(X54)) != c_Nat_Osize__class_Osize(X48,tc_List_Olist(X53))
| c_Nat_Osize__class_Osize(X51,tc_List_Olist(X54)) != c_Nat_Osize__class_Osize(X49,tc_List_Olist(X53))
| c_List_Olist__all2(X52,c_List_Oappend(X51,X50,X54),c_List_Oappend(X49,X48,X53),X54,X53)
| ~ c_List_Olist__all2(X52,X50,X48,X54,X53)
| ~ c_List_Olist__all2(X52,X51,X49,X54,X53) ),
inference(variable_rename,[status(thm)],[c_0_342]) ).
fof(c_0_651_652,plain,
! [X15,X16,X17,X18,X19,X20] :
( c_List_Olist__all2(c_Conform_Oconf(X19,X16,X20),X15,X17,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X19,X20),X18,X17,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X19,X16,X20),X15,X18,tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_343]) ).
fof(c_0_652_653,plain,
! [X47,X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(X48,tc_List_Olist(X53)) != c_Nat_Osize__class_Osize(X47,tc_List_Olist(X52))
| c_List_Olist__all2(X51,c_List_Oappend(X48,X50,X53),c_List_Oappend(X47,X49,X52),X53,X52)
| ~ c_List_Olist__all2(X51,X50,X49,X53,X52)
| ~ c_List_Olist__all2(X51,X48,X47,X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_344]) ).
fof(c_0_653_654,plain,
! [X49,X50,X51,X52,X53,X54,X55] :
( c_Progress_OWTrts_H(X54,X49,X55,c_List_Olist_OCons(X51,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X53,X52,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(X54,X49,X55,X50,X52)
| ~ c_Progress_OWTrt_H(X54,X49,X55,X51,X53) ),
inference(variable_rename,[status(thm)],[c_0_345]) ).
fof(c_0_654_655,plain,
! [X49,X50,X51,X52,X53,X54,X55] :
( c_WellTypeRT_OWTrts(X54,X49,X55,c_List_Olist_OCons(X51,X50,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X53,X52,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(X54,X49,X55,X50,X52)
| ~ c_WellTypeRT_OWTrt(X54,X49,X55,X51,X53) ),
inference(variable_rename,[status(thm)],[c_0_346]) ).
fof(c_0_655_656,plain,
! [X25,X26,X27,X28,X29,X30,X31] :
( c_List_Olist__all2(X29,c_List_Oappend(X28,X26,X31),c_List_Oappend(X27,X25,X30),X31,X30)
| ~ c_List_Olist__all2(X29,X26,X25,X31,X30)
| ~ c_List_Olist__all2(X29,X28,X27,X31,X30) ),
inference(variable_rename,[status(thm)],[c_0_347]) ).
fof(c_0_656_657,plain,
! [X17,X18,X19,X20,X21] :
( c_List_Olist__all2(c_TypeRel_Owiden(X20,X21),X19,X17,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X20,X21),X18,X17,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X20,X21),X19,X18,tc_Type_Oty,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_348]) ).
fof(c_0_657_658,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_List_Olist__all2(c_Conform_Oconf(X39,X38,X40),c_List_Olist_OCons(X37,X36,tc_Value_Oval),c_List_Olist_OCons(X35,X34,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X39,X38,X40),X36,X34,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X39,X38,X40),X37),X35)) ),
inference(variable_rename,[status(thm)],[c_0_349]) ).
fof(c_0_658_659,plain,
! [X37] :
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X37,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X37) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_350])])]) ).
fof(c_0_659_660,plain,
! [X34,X35,X36,X37,X38,X39] :
( c_List_Olist__all2(c_TypeRel_Owiden(X38,X39),c_List_Olist_OCons(X37,X34,tc_Type_Oty),c_List_Olist_OCons(X36,X35,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X38,X39),X34,X35,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X38,X39),X37),X36)) ),
inference(variable_rename,[status(thm)],[c_0_351]) ).
fof(c_0_660_661,plain,
! [X47,X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(X48,tc_List_Olist(X53)) != c_Nat_Osize__class_Osize(X47,tc_List_Olist(X52))
| c_List_Olist__all2(X51,X48,X47,X53,X52)
| ~ c_List_Olist__all2(X51,c_List_Oappend(X48,X50,X53),c_List_Oappend(X47,X49,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_352]) ).
fof(c_0_661_662,plain,
! [X47,X48,X49,X50,X51,X52,X53] :
( c_Nat_Osize__class_Osize(X48,tc_List_Olist(X53)) != c_Nat_Osize__class_Osize(X47,tc_List_Olist(X52))
| c_List_Olist__all2(X51,X50,X49,X53,X52)
| ~ c_List_Olist__all2(X51,c_List_Oappend(X48,X50,X53),c_List_Oappend(X47,X49,X52),X53,X52) ),
inference(variable_rename,[status(thm)],[c_0_353]) ).
fof(c_0_662_663,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_List_Olist__all2(X38,c_List_Olist_OCons(X37,X36,X40),c_List_Olist_OCons(X35,X34,X39),X40,X39)
| ~ c_List_Olist__all2(X38,X36,X34,X40,X39)
| ~ hBOOL(hAPP(hAPP(X38,X37),X35)) ),
inference(variable_rename,[status(thm)],[c_0_354]) ).
fof(c_0_663_664,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_List_Olist__all2(X38,c_List_Olist_OCons(X37,X34,X40),c_List_Olist_OCons(X36,X35,X39),X40,X39)
| ~ c_List_Olist__all2(X38,X34,X35,X40,X39)
| ~ hBOOL(hAPP(hAPP(X38,X37),X36)) ),
inference(variable_rename,[status(thm)],[c_0_355]) ).
fof(c_0_664_665,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_List_Olist__all2(X23,c_List_Olist_OCons(X22,X21,X25),c_List_Olist_OCons(X20,X19,X24),X25,X24)
| ~ c_List_Olist__all2(X23,X21,X19,X25,X24)
| ~ hBOOL(hAPP(hAPP(X23,X22),X20)) ),
inference(variable_rename,[status(thm)],[c_0_356]) ).
fof(c_0_665_666,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( c_List_Olist__all2(X23,X21,X19,X25,X24)
| ~ c_List_Olist__all2(X23,c_List_Olist_OCons(X22,X21,X25),c_List_Olist_OCons(X20,X19,X24),X25,X24) ),
inference(variable_rename,[status(thm)],[c_0_357]) ).
fof(c_0_666_667,plain,
! [X20,X21,X22,X23,X24,X25] :
( c_List_Olist__all2(c_Conform_Oconf(X24,X21,X25),X20,X23,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X22,X21)
| ~ c_List_Olist__all2(c_Conform_Oconf(X24,X22,X25),X20,X23,tc_Value_Oval,tc_Type_Oty) ),
inference(variable_rename,[status(thm)],[c_0_358]) ).
fof(c_0_667_668,plain,
! [X36,X37,X38,X39,X40,X41] :
( c_List_Olist__all2(X39,c_List_Odrop(X36,X38,X41),c_List_Odrop(X36,X37,X40),X41,X40)
| ~ c_List_Olist__all2(X39,X38,X37,X41,X40) ),
inference(variable_rename,[status(thm)],[c_0_359]) ).
fof(c_0_668_669,plain,
! [X31,X32,X33,X34,X35,X36] :
( c_List_Olist__all2(X34,c_List_Otake(X33,X32,X36),c_List_Otake(X33,X31,X35),X36,X35)
| ~ c_List_Olist__all2(X34,X32,X31,X36,X35) ),
inference(variable_rename,[status(thm)],[c_0_360]) ).
fof(c_0_669_670,plain,
! [X10,X11,X12,X13,X14] :
( c_List_Olist__all2(X12,X11,X10,X14,X13)
| ~ c_List_Olist__all2(X12,c_List_Orev(X11,X14),c_List_Orev(X10,X13),X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_361]) ).
fof(c_0_670_671,plain,
! [X10,X11,X12,X13,X14] :
( c_List_Olist__all2(X12,c_List_Orev(X11,X14),X10,X14,X13)
| ~ c_List_Olist__all2(X12,X11,c_List_Orev(X10,X13),X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_362]) ).
fof(c_0_671_672,plain,
! [X10,X11,X12,X13,X14] :
( c_List_Olist__all2(X12,X11,c_List_Orev(X10,X13),X14,X13)
| ~ c_List_Olist__all2(X12,c_List_Orev(X11,X14),X10,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_363]) ).
fof(c_0_672_673,plain,
! [X10,X11,X12,X13,X14] :
( c_List_Olist__all2(X12,c_List_Orev(X11,X14),c_List_Orev(X10,X13),X14,X13)
| ~ c_List_Olist__all2(X12,X11,X10,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_364]) ).
fof(c_0_673_674,plain,
! [X49,X50,X51,X52,X53,X54] :
( c_WellTypeRT_OWTrt(X53,X49,X54,X51,X52)
| ~ c_Objects_Ohext(X50,X49)
| ~ c_WellTypeRT_OWTrt(X53,X50,X54,X51,X52) ),
inference(variable_rename,[status(thm)],[c_0_365]) ).
fof(c_0_674_675,plain,
! [X21,X22,X23,X24,X25,X26] :
( c_WellTypeRT_OWTrts(X25,X21,X26,X23,X24)
| ~ c_Objects_Ohext(X22,X21)
| ~ c_WellTypeRT_OWTrts(X25,X22,X26,X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_366]) ).
fof(c_0_675_676,plain,
! [X49,X50,X51,X52,X53] :
( c_Progress_OWTrt_H(X52,X49,X53,X50,X51)
| ~ c_WellTypeRT_OWTrt(X52,X49,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[c_0_367]) ).
fof(c_0_676_677,plain,
! [X49,X50,X51,X52,X53] :
( c_WellTypeRT_OWTrt(X52,X49,X53,X50,X51)
| ~ c_Progress_OWTrt_H(X52,X49,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[c_0_368]) ).
fof(c_0_677_678,plain,
! [X21,X22,X23,X24,X25] :
( c_Progress_OWTrts_H(X24,X21,X25,X22,X23)
| ~ c_WellTypeRT_OWTrts(X24,X21,X25,X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_369]) ).
fof(c_0_678_679,plain,
! [X21,X22,X23,X24,X25] :
( c_WellTypeRT_OWTrts(X24,X21,X25,X22,X23)
| ~ c_Progress_OWTrts_H(X24,X21,X25,X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_370]) ).
fof(c_0_679_680,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Oappend(X49,X48,X52) != c_List_Olist_OCons(X51,X50,X52)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X51,X50,X49,X48,X52),X48,X52) = X50
| X48 = c_List_Olist_OCons(X51,X50,X52) ),
inference(variable_rename,[status(thm)],[c_0_371]) ).
fof(c_0_680_681,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Olist_OCons(X51,X50,X52) != c_List_Oappend(X49,X48,X52)
| c_List_Olist_OCons(X51,c_List_Osko__List__XCons__eq__append__conv__1__1(X51,X50,X49,X48,X52),X52) = X49
| c_List_Olist_OCons(X51,X50,X52) = X48 ),
inference(variable_rename,[status(thm)],[c_0_372]) ).
fof(c_0_681_682,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Oappend(X49,X48,X52) != c_List_Olist_OCons(X51,X50,X52)
| X49 = c_List_Olist_OCons(X51,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X51,X50,X49,X48,X52),X52)
| X48 = c_List_Olist_OCons(X51,X50,X52) ),
inference(variable_rename,[status(thm)],[c_0_373]) ).
fof(c_0_682_683,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Olist_OCons(X51,X50,X52) != c_List_Oappend(X49,X48,X52)
| X50 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X51,X50,X49,X48,X52),X48,X52)
| c_List_Olist_OCons(X51,X50,X52) = X48 ),
inference(variable_rename,[status(thm)],[c_0_374]) ).
fof(c_0_683_684,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Olist_OCons(X51,X50,X52) != c_List_Oappend(X49,X48,X52)
| X50 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X51,X50,X49,X48,X52),X48,X52)
| X49 = c_List_Olist_ONil(X52) ),
inference(variable_rename,[status(thm)],[c_0_375]) ).
fof(c_0_684_685,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Oappend(X49,X48,X52) != c_List_Olist_OCons(X51,X50,X52)
| X49 = c_List_Olist_OCons(X51,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X51,X50,X49,X48,X52),X52)
| X49 = c_List_Olist_ONil(X52) ),
inference(variable_rename,[status(thm)],[c_0_376]) ).
fof(c_0_685_686,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Oappend(X49,X48,X52) != c_List_Olist_OCons(X51,X50,X52)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X51,X50,X49,X48,X52),X48,X52) = X50
| X49 = c_List_Olist_ONil(X52) ),
inference(variable_rename,[status(thm)],[c_0_377]) ).
fof(c_0_686_687,plain,
! [X48,X49,X50,X51,X52] :
( c_List_Olist_OCons(X51,X50,X52) != c_List_Oappend(X49,X48,X52)
| c_List_Olist_OCons(X51,c_List_Osko__List__XCons__eq__append__conv__1__1(X51,X50,X49,X48,X52),X52) = X49
| X49 = c_List_Olist_ONil(X52) ),
inference(variable_rename,[status(thm)],[c_0_378]) ).
fof(c_0_687_688,plain,
! [X19,X20,X21,X22,X23,X24,X25] :
( hBOOL(hAPP(hAPP(X23,X22),X20))
| ~ c_List_Olist__all2(X23,c_List_Olist_OCons(X22,X21,X25),c_List_Olist_OCons(X20,X19,X24),X25,X24) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_379])])]) ).
fof(c_0_688_689,plain,
! [X46,X47,X48,X49] :
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X47,tc_List_Olist(X49)),X48,X49),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X48,tc_List_Olist(X49)),X47,X49),X46,X49),X49) != X46
| c_List_Otake(c_Nat_Osize__class_Osize(X47,tc_List_Olist(X49)),X48,X49) != X47
| X48 != c_List_Otake(c_Nat_Osize__class_Osize(X48,tc_List_Olist(X49)),X47,X49)
| c_List_Oappend(X48,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X48,tc_List_Olist(X49)),X47,X49),X46,X49),X49) = c_List_Oappend(X47,X46,X49) ),
inference(variable_rename,[status(thm)],[c_0_380]) ).
fof(c_0_689_690,plain,
! [X10,X11,X12,X13,X14] :
( c_Nat_Osize__class_Osize(X11,tc_List_Olist(X14)) = c_Nat_Osize__class_Osize(X10,tc_List_Olist(X13))
| ~ c_List_Olist__all2(X12,X11,X10,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_381]) ).
fof(c_0_690_691,plain,
! [X10,X11,X12,X13] :
( X10 = c_List_Olist_ONil(X13)
| ~ c_List_Olist__all2(X11,X10,c_List_Olist_ONil(X12),X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_382]) ).
fof(c_0_691_692,plain,
! [X10,X11,X12,X13] :
( X10 = c_List_Olist_ONil(X12)
| ~ c_List_Olist__all2(X11,c_List_Olist_ONil(X13),X10,X13,X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_383])])]) ).
fof(c_0_692_693,plain,
! [X8,X9,X10] :
( X9 = X8
| ~ c_List_Olist__all2(c_fequal(X10),X9,X8,X10,X10) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_384])])]) ).
fof(c_0_693_694,plain,
! [X80,X81,X82] :
( ~ hBOOL(hAPP(X82,c_Nat_Onat_Onat__case(X81,X80,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
| hBOOL(hAPP(X82,X81)) ),
inference(variable_rename,[status(thm)],[c_0_385]) ).
fof(c_0_694_695,plain,
! [X28,X29,X30,X31,X32,X33] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X32,X29,X33),X28),X30))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X32,X33),X31),X30))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X32,X29,X33),X28),X31)) ),
inference(variable_rename,[status(thm)],[c_0_386]) ).
fof(c_0_695_696,plain,
! [X49,X50,X51,X52,X53] :
( c_WellTypeRT_OWTrt(X52,X49,X53,X50,X51)
| ~ c_WellType_OWT(X52,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[c_0_387]) ).
fof(c_0_696_697,plain,
! [X21,X22,X23,X24,X25] :
( c_WellTypeRT_OWTrts(X24,X21,X25,X22,X23)
| ~ c_WellType_OWTs(X24,X25,X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_388]) ).
fof(c_0_697_698,plain,
! [X9,X10,X11] :
( c_List_Olist__all2(X10,X9,X9,X11,X11)
| ~ hBOOL(hAPP(hAPP(X10,c_List_Osko__List__Xlist__all2__refl__1__1(X10,X11)),c_List_Osko__List__Xlist__all2__refl__1__1(X10,X11))) ),
inference(variable_rename,[status(thm)],[c_0_389]) ).
fof(c_0_698_699,plain,
! [X73,X74,X75,X76,X77,X78] :
( c_List_Olist__update(c_List_Olist__update(X73,X77,X75,X78),X76,X74,X78) = c_List_Olist__update(c_List_Olist__update(X73,X76,X74,X78),X77,X75,X78)
| X77 = X76 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_390])])]) ).
fof(c_0_699_700,plain,
! [X28,X29,X30,X31,X32,X33] :
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X32,X29,X33),X28),X31))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X32,X30,X33),X28),X31))
| ~ c_Objects_Ohext(X30,X29) ),
inference(variable_rename,[status(thm)],[c_0_391]) ).
fof(c_0_700_701,plain,
! [X49,X50,X51,X52,X53,X54] :
( c_WellType_OWTs(X53,X54,c_List_Olist_OCons(X50,X49,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X52,X51,tc_Type_Oty))
| ~ c_WellType_OWTs(X53,X54,X49,X51)
| ~ c_WellType_OWT(X53,X54,X50,X52) ),
inference(variable_rename,[status(thm)],[c_0_392]) ).
fof(c_0_701_702,plain,
! [X65,X66,X67,X68,X69] :
( hAPP(c_List_Onth(c_List_Olist__update(X65,X68,X66,X69),X69),X67) = hAPP(c_List_Onth(X65,X69),X67)
| X68 = X67 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_393])])]) ).
fof(c_0_702_703,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP(X26,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X25,X24,tc_nat),X25,tc_nat)))
| hBOOL(hAPP(X26,X24)) ),
inference(variable_rename,[status(thm)],[c_0_394]) ).
fof(c_0_703_704,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP(X26,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X25,X24,tc_nat),X25,tc_nat)))
| hBOOL(hAPP(X26,X24)) ),
inference(variable_rename,[status(thm)],[c_0_395]) ).
fof(c_0_704_705,plain,
! [X65,X66,X67,X68] :
( c_List_Otake(c_HOL_Oplus__class_Oplus(X67,X66,tc_nat),X65,X68) = c_List_Oappend(c_List_Otake(X67,X65,X68),c_List_Otake(X66,c_List_Odrop(X67,X65,X68),X68),X68)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X67,X66,tc_nat),c_Nat_Osize__class_Osize(X65,tc_List_Olist(X68)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_396]) ).
fof(c_0_705_706,plain,
! [X46,X47,X48,X49] :
( X48 != c_List_Otake(c_Nat_Osize__class_Osize(X48,tc_List_Olist(X49)),X47,X49)
| c_List_Oappend(X48,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X48,tc_List_Olist(X49)),X47,X49),X46,X49),X49) = c_List_Oappend(X47,X46,X49)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X48,tc_List_Olist(X49)),c_Nat_Osize__class_Osize(X47,tc_List_Olist(X49)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_397]) ).
fof(c_0_706_707,plain,
! [X54,X55,X56,X57] :
( c_List_Obutlast(c_List_Olist__update(X54,X56,X55,X57),X57) = c_List_Olist__update(c_List_Obutlast(X54,X57),X56,X55,X57)
| X56 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X57)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_398]) ).
fof(c_0_707_708,plain,
! [X51,X52,X53,X54] :
( c_List_Otake(c_Nat_Osize__class_Osize(X51,tc_List_Olist(X54)),X53,X54) != X51
| c_lessequals(c_Nat_Osize__class_Osize(X53,tc_List_Olist(X54)),c_Nat_Osize__class_Osize(X51,tc_List_Olist(X54)),tc_nat)
| c_List_Oappend(X53,X52,X54) = c_List_Oappend(X51,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X51,tc_List_Olist(X54)),X53,X54),X52,X54),X54) ),
inference(variable_rename,[status(thm)],[c_0_399]) ).
fof(c_0_708_709,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( c_Expr_Oexp_OCall(X65,X63,X61,X66) != c_Expr_Oexp_OCall(X64,X62,X60,X66)
| X65 = X64 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_400])])]) ).
fof(c_0_709_710,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( c_Expr_Oexp_OCall(X65,X63,X61,X66) != c_Expr_Oexp_OCall(X64,X62,X60,X66)
| X63 = X62 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_401])])]) ).
fof(c_0_710_711,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( c_Expr_Oexp_OCall(X65,X63,X61,X66) != c_Expr_Oexp_OCall(X64,X62,X60,X66)
| X61 = X60 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_402])])]) ).
fof(c_0_711_712,plain,
! [X41,X42,X43,X44,X45,X46] :
( c_Pair(X44,X42,X46,X45) != c_Pair(X43,X41,X46,X45)
| X44 = X43 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_403])])]) ).
fof(c_0_712_713,plain,
! [X41,X42,X43,X44,X45,X46] :
( c_Pair(X44,X42,X46,X45) != c_Pair(X43,X41,X46,X45)
| X42 = X41 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_404])])]) ).
fof(c_0_713_714,plain,
! [X30,X31,X32,X33,X34] :
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X33,X34),X32),X31))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X33,X34),X30),X31))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X33,X34),X32),X30)) ),
inference(variable_rename,[status(thm)],[c_0_405]) ).
fof(c_0_714_715,plain,
! [X52,X53,X54,X55] :
( hAPP(c_List_Onth(c_List_Odrop(X53,X52,X55),X55),X54) = hAPP(c_List_Onth(X52,X55),c_HOL_Oplus__class_Oplus(X53,X54,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X53,X54,tc_nat),c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_406]) ).
fof(c_0_715_716,plain,
! [X26,X27,X28,X29] :
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Olist_OCons(X27,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X26,X29),X29)
| c_Int_Onumber__class_Onumber__of(X28,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_407])])]) ).
fof(c_0_716_717,plain,
! [X54,X55,X56] :
( c_lessequals(X55,X54,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X55,X56,tc_nat),c_HOL_Ominus__class_Ominus(X54,X56,tc_nat),tc_nat)
| ~ c_lessequals(X56,X54,tc_nat)
| ~ c_lessequals(X56,X55,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_408])])]) ).
fof(c_0_717_718,plain,
! [X51,X52,X53,X54,X55] :
( c_List_Oappend(X54,X53,X55) != c_List_Oappend(X52,X51,X55)
| X53 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X55)),X52,X55),X51,X55)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X55)),c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_409]) ).
fof(c_0_718_719,plain,
! [X66,X67,X68,X69] :
( ~ class_Ring__and__Field_Oordered__semidom(X69)
| c_lessequals(c_Power_Opower__class_Opower(X67,X68,X69),c_Power_Opower__class_Opower(X67,X66,X69),X69)
| ~ c_lessequals(X67,c_HOL_Oone__class_Oone(X69),X69)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X69),X67,X69)
| ~ c_lessequals(X66,X68,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_410]) ).
fof(c_0_719_720,plain,
! [X19,X20,X21,X22,X23] :
( c_List_Oappend(X21,c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23),X23) != c_List_Oappend(X19,c_List_Olist_OCons(X20,c_List_Olist_ONil(X23),X23),X23)
| X21 = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_411])])]) ).
fof(c_0_720_721,plain,
! [X19,X20,X21,X22,X23] :
( c_List_Oappend(X21,c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23),X23) != c_List_Oappend(X19,c_List_Olist_OCons(X20,c_List_Olist_ONil(X23),X23),X23)
| X22 = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_412])])]) ).
fof(c_0_721_722,plain,
! [X31,X32,X33,X34] :
( c_List_Otake(X33,c_List_Olist_OCons(X32,X31,X34),X34) = c_List_Olist_OCons(X32,c_List_Otake(c_HOL_Ominus__class_Ominus(X33,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X31,X34),X34)
| X33 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_413])])]) ).
fof(c_0_722_723,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X29)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X28,X27,X29),c_HOL_Oplus__class_Oplus(X26,X25,X29),X29) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X28,X26,X29),c_HOL_Oplus__class_Oplus(X27,X25,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_414]) ).
fof(c_0_723_724,plain,
! [X51,X52,X53,X54,X55] :
( c_List_Oappend(X54,X53,X55) != c_List_Oappend(X52,X51,X55)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),X54,X55),X53,X55) = X51
| c_lessequals(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X55)),c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_415]) ).
fof(c_0_724_725,plain,
! [X54,X55,X56] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X55,X56,tc_nat),c_HOL_Ominus__class_Ominus(X54,X56,tc_nat),tc_nat)
| ~ c_lessequals(X55,X54,tc_nat)
| ~ c_lessequals(X56,X54,tc_nat)
| ~ c_lessequals(X56,X55,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_416]) ).
fof(c_0_725_726,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X29)
| c_lessequals(X28,c_HOL_Oplus__class_Oplus(X27,X25,X29),X29)
| ~ c_lessequals(X26,X25,X29)
| ~ c_lessequals(X28,c_HOL_Oplus__class_Oplus(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_417]) ).
fof(c_0_726_727,plain,
! [X65,X66,X67] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),X66,tc_nat)
| ~ c_lessequals(X67,c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_418]) ).
fof(c_0_727_728,plain,
! [X65,X66,X67] :
( c_lessequals(X67,c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),X66,tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_419]) ).
fof(c_0_728_729,plain,
! [X26,X27,X28,X29] :
( hAPP(c_List_Onth(c_List_Olist_OCons(X27,X26,X29),X29),c_Int_Onumber__class_Onumber__of(X28,tc_nat)) = hAPP(c_List_Onth(X26,X29),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_Int_Onumber__class_Onumber__of(X28,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_420])])]) ).
fof(c_0_729_730,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X28)
| c_lessequals(X27,X26,X28)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X27,X25,X28),c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_421]) ).
fof(c_0_730_731,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X28)
| c_lessequals(X27,X26,X28)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X25,X27,X28),c_HOL_Oplus__class_Oplus(X25,X26,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_422]) ).
fof(c_0_731_732,plain,
! [X54,X55,X56] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X55,X56,tc_nat),c_HOL_Ominus__class_Ominus(X54,X56,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X55,X54,tc_nat)
| ~ c_lessequals(X56,X54,tc_nat)
| ~ c_lessequals(X56,X55,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_423]) ).
fof(c_0_732_733,plain,
! [X51,X52,X53,X54,X55] :
( c_List_Oappend(X54,X53,X55) != c_List_Oappend(X52,X51,X55)
| X54 = c_List_Otake(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X55)),X52,X55)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X55)),c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_424]) ).
fof(c_0_733_734,plain,
! [X54,X55,X56] :
( c_lessequals(X55,X54,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X56,X55,tc_nat),c_HOL_Oplus__class_Oplus(X56,X54,tc_nat),tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_425])])]) ).
fof(c_0_734_735,plain,
! [X31,X32,X33,X34] :
( ~ class_Ring__and__Field_Oordered__semidom(X34)
| c_lessequals(c_Power_Opower__class_Opower(X33,X31,X34),c_Power_Opower__class_Opower(X32,X31,X34),X34)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X34),X33,X34)
| ~ c_lessequals(X33,X32,X34) ),
inference(variable_rename,[status(thm)],[c_0_426]) ).
fof(c_0_735_736,plain,
! [X66,X67,X68,X69] :
( ~ class_Ring__and__Field_Oordered__semidom(X69)
| c_lessequals(c_Power_Opower__class_Opower(X67,X66,X69),c_Power_Opower__class_Opower(X67,X68,X69),X69)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X69),X67,X69)
| ~ c_lessequals(X66,X68,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_427]) ).
fof(c_0_736_737,plain,
! [X54,X55,X56] :
( c_lessequals(X55,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X54,X55,tc_nat),X56,tc_nat),tc_nat)
| ~ c_lessequals(X56,X54,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_428]) ).
fof(c_0_737_738,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X29)
| c_lessequals(c_HOL_Oplus__class_Oplus(X28,X26,X29),c_HOL_Oplus__class_Oplus(X27,X25,X29),X29)
| ~ c_lessequals(X26,X25,X29)
| ~ c_lessequals(X28,X27,X29) ),
inference(variable_rename,[status(thm)],[c_0_429]) ).
fof(c_0_738_739,plain,
! [X31,X32,X33] :
( c_List_Obutlast(c_List_Otake(X32,X31,X33),X33) = c_List_Otake(c_HOL_Ominus__class_Ominus(X32,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X31,X33)
| ~ c_lessequals(X32,c_Nat_Osize__class_Osize(X31,tc_List_Olist(X33)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_430]) ).
fof(c_0_739_740,plain,
! [X65,X66,X67,X68] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X68,X66,tc_nat),c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),tc_nat)
| ~ c_lessequals(X66,X65,tc_nat)
| ~ c_lessequals(X68,X67,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_431]) ).
fof(c_0_740_741,plain,
! [X26,X27,X28,X29] :
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X26,X29)
| c_Int_Onumber__class_Onumber__of(X28,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_432])])]) ).
fof(c_0_741_742,plain,
! [X31,X32,X33,X34] :
( hAPP(c_List_Onth(c_List_Olist_OCons(X32,X31,X34),X34),X33) = hAPP(c_List_Onth(X31,X34),c_HOL_Ominus__class_Ominus(X33,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X33 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_433])])]) ).
fof(c_0_742_743,plain,
! [X54,X55] :
( ~ c_lessequals(X55,c_HOL_Oplus__class_Oplus(X54,X55,tc_nat),tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X54,X55,tc_nat),X55,tc_nat) = X54 ),
inference(variable_rename,[status(thm)],[c_0_434]) ).
fof(c_0_743_744,plain,
! [X65,X66,X67] :
( c_lessequals(X66,c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),X67,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_435]) ).
fof(c_0_744_745,plain,
! [X65,X66,X67] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),X67,tc_nat)
| ~ c_lessequals(X66,c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_436]) ).
fof(c_0_745_746,plain,
! [X78,X79,X80,X81,X82] :
( ~ class_OrderedGroup_Oab__group__add(X82)
| c_HOL_Oplus__class_Oplus(X80,c_HOL_Oplus__class_Oplus(X79,X78,X82),X82) != c_HOL_Oplus__class_Oplus(X79,X81,X82)
| c_HOL_Oplus__class_Oplus(X80,X78,X82) = X81 ),
inference(variable_rename,[status(thm)],[c_0_437]) ).
fof(c_0_746_747,plain,
! [X54,X55,X56,X57] :
( c_List_Olist__update(X54,X56,X55,X57) != c_List_Olist_ONil(X57)
| X54 = c_List_Olist_ONil(X57) ),
inference(variable_rename,[status(thm)],[c_0_438]) ).
fof(c_0_747_748,plain,
! [X65,X66,X67] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X67,X66,tc_nat),X65,tc_nat) = c_HOL_Oplus__class_Oplus(X67,c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_439])])]) ).
fof(c_0_748_749,plain,
! [X65,X66,X67] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X66,X67,tc_nat),X65,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),X67,tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_440])])]) ).
fof(c_0_749_750,plain,
! [X65,X66,X67] :
( c_HOL_Ominus__class_Ominus(X67,c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),X66,tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_441])])]) ).
fof(c_0_750_751,plain,
! [X65,X66,X67] :
( c_HOL_Oplus__class_Oplus(X67,c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X67,X66,tc_nat),X65,tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_442])])]) ).
fof(c_0_751_752,plain,
! [X65,X66,X67] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X66,X65,tc_nat),X67,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X66,X67,tc_nat),X65,tc_nat)
| ~ c_lessequals(X65,X66,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_443])])]) ).
fof(c_0_752_753,plain,
! [X51,X52,X53,X54,X55] :
( c_List_Oappend(X54,X53,X55) != c_List_Oappend(X52,X51,X55)
| c_List_Otake(c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),X54,X55) = X52
| c_lessequals(c_Nat_Osize__class_Osize(X54,tc_List_Olist(X55)),c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_444]) ).
fof(c_0_753_754,plain,
! [X52,X53,X54,X55] :
( c_List_Olist__update(X52,X54,X53,X55) = X52
| ~ c_lessequals(c_Nat_Osize__class_Osize(X52,tc_List_Olist(X55)),X54,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_445]) ).
fof(c_0_754_755,plain,
! [X48,X49,X50] :
( X49 != c_List_Otake(c_Nat_Osize__class_Osize(X49,tc_List_Olist(X50)),X48,X50)
| c_List_Oappend(X49,c_List_Odrop(c_Nat_Osize__class_Osize(X49,tc_List_Olist(X50)),X48,X50),X50) = X48 ),
inference(variable_rename,[status(thm)],[c_0_446]) ).
fof(c_0_755_756,plain,
! [X72,X73,X74,X75] :
( c_Nat_Onat_Onat__case(X72,X74,X73,X75) = hAPP(X74,c_HOL_Ominus__class_Ominus(X73,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X73 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_447])])]) ).
fof(c_0_756_757,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X27)
| c_lessequals(c_HOL_Ozero__class_Ozero(X27),c_HOL_Oplus__class_Oplus(X26,X25,X27),X27)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X25,X27)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_448]) ).
fof(c_0_757_758,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X27)
| c_lessequals(c_HOL_Oplus__class_Oplus(X26,X25,X27),c_HOL_Ozero__class_Ozero(X27),X27)
| ~ c_lessequals(X25,c_HOL_Ozero__class_Ozero(X27),X27)
| ~ c_lessequals(X26,c_HOL_Ozero__class_Ozero(X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_449]) ).
fof(c_0_758_759,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X28)
| c_lessequals(c_HOL_Oplus__class_Oplus(X27,X25,X28),c_HOL_Oplus__class_Oplus(X26,X25,X28),X28)
| ~ c_lessequals(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_759_760,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X28)
| c_lessequals(c_HOL_Oplus__class_Oplus(X25,X27,X28),c_HOL_Oplus__class_Oplus(X25,X26,X28),X28)
| ~ c_lessequals(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_760_761,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X28)
| c_lessequals(c_HOL_Oplus__class_Oplus(X27,X25,X28),c_HOL_Oplus__class_Oplus(X26,X25,X28),X28)
| ~ c_lessequals(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_761_762,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X28)
| c_lessequals(c_HOL_Oplus__class_Oplus(X25,X27,X28),c_HOL_Oplus__class_Oplus(X25,X26,X28),X28)
| ~ c_lessequals(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_762_763,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X28)
| ~ class_OrderedGroup_Ocomm__monoid__add(X28)
| c_lessequals(X26,c_HOL_Oplus__class_Oplus(X27,X25,X28),X28)
| ~ c_lessequals(X26,X25,X28)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X28),X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_454]) ).
fof(c_0_763_764,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X28)
| ~ class_OrderedGroup_Ocomm__monoid__add(X28)
| c_lessequals(X26,c_HOL_Oplus__class_Oplus(X27,X25,X28),X28)
| ~ c_lessequals(X26,X27,X28)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X28),X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_455]) ).
fof(c_0_764_765,plain,
! [X65,X66,X67] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X67,X65,tc_nat),c_HOL_Oplus__class_Oplus(X66,X65,tc_nat),tc_nat)
| ~ c_lessequals(X67,X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_456]) ).
fof(c_0_765_766,plain,
! [X54,X55,X56] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X56,X55,tc_nat),c_HOL_Oplus__class_Oplus(X56,X54,tc_nat),tc_nat)
| ~ c_lessequals(X55,X54,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_457])])]) ).
fof(c_0_766_767,plain,
! [X63,X64,X65] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X65,X63,tc_nat),c_HOL_Ominus__class_Ominus(X65,X64,tc_nat),tc_nat)
| ~ c_lessequals(X64,X63,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_458])])]) ).
fof(c_0_767_768,plain,
! [X63,X64,X65] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X64,X65,tc_nat),c_HOL_Ominus__class_Ominus(X63,X65,tc_nat),tc_nat)
| ~ c_lessequals(X64,X63,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_459])])]) ).
fof(c_0_768_769,plain,
! [X54,X55,X56] :
( c_HOL_Ominus__class_Ominus(X55,X56,tc_nat) != c_HOL_Ominus__class_Ominus(X54,X56,tc_nat)
| ~ c_lessequals(X56,X54,tc_nat)
| ~ c_lessequals(X56,X55,tc_nat)
| X55 = X54 ),
inference(variable_rename,[status(thm)],[c_0_460]) ).
fof(c_0_769_770,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
| c_lessequals(c_HOL_Ozero__class_Ozero(X26),X25,X26)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X26),c_HOL_Oplus__class_Oplus(X25,X25,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_461]) ).
fof(c_0_770_771,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
| c_lessequals(X25,c_HOL_Ozero__class_Ozero(X26),X26)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X25,X25,X26),c_HOL_Ozero__class_Ozero(X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_462]) ).
fof(c_0_771_772,plain,
! [X64,X65,X66,X67] :
( ~ class_OrderedGroup_Oab__group__add(X67)
| c_HOL_Oplus__class_Oplus(X66,c_HOL_Oplus__class_Oplus(X65,X64,X67),X67) = c_HOL_Oplus__class_Oplus(X65,c_HOL_Oplus__class_Oplus(X66,X64,X67),X67) ),
inference(variable_rename,[status(thm)],[c_0_463]) ).
fof(c_0_772_773,plain,
! [X64,X65,X66,X67] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X67)
| c_HOL_Oplus__class_Oplus(X66,c_HOL_Oplus__class_Oplus(X65,X64,X67),X67) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X66,X65,X67),X64,X67) ),
inference(variable_rename,[status(thm)],[c_0_464]) ).
fof(c_0_773_774,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X28)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X27,X26,X28),X25,X28) = c_HOL_Oplus__class_Oplus(X27,c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_465]) ).
fof(c_0_774_775,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X28)
| c_HOL_Oplus__class_Oplus(X27,c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) = c_HOL_Oplus__class_Oplus(X26,c_HOL_Oplus__class_Oplus(X27,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_466]) ).
fof(c_0_775_776,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Oab__semigroup__add(X28)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X27,X26,X28),X25,X28) = c_HOL_Oplus__class_Oplus(X27,c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_467]) ).
fof(c_0_776_777,plain,
! [X25,X26,X27,X28] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
| c_HOL_Oplus__class_Oplus(X27,c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X27,X26,X28),X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_468]) ).
fof(c_0_777_778,plain,
! [X25,X26,X27,X28] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X27,X26,X28),X25,X28) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X27,X25,X28),X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_469]) ).
fof(c_0_778_779,plain,
! [X25,X26,X27,X28] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
| c_HOL_Oplus__class_Oplus(X27,c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) = c_HOL_Oplus__class_Oplus(X26,c_HOL_Oplus__class_Oplus(X27,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_470]) ).
fof(c_0_779_780,plain,
! [X25,X26,X27,X28] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X27,X26,X28),X25,X28) = c_HOL_Oplus__class_Oplus(X27,c_HOL_Oplus__class_Oplus(X26,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_471]) ).
fof(c_0_780_781,plain,
! [X31,X32,X33,X34] :
( c_List_Odrop(X33,c_List_Olist_OCons(X32,X31,X34),X34) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X33,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X31,X34)
| X33 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_472])])]) ).
fof(c_0_781_782,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X26,X25,X27)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X26,X25,X27),c_HOL_Ozero__class_Ozero(X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_473]) ).
fof(c_0_782_783,plain,
! [X62,X63,X64,X65,X66] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X66)
| c_HOL_Ominus__class_Ominus(X65,X63,X66) != c_HOL_Ominus__class_Ominus(X64,X62,X66)
| c_lessequals(X63,X65,X66)
| ~ c_lessequals(X62,X64,X66) ),
inference(variable_rename,[status(thm)],[c_0_474]) ).
fof(c_0_783_784,plain,
! [X62,X63,X64,X65,X66] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X66)
| c_HOL_Ominus__class_Ominus(X65,X63,X66) != c_HOL_Ominus__class_Ominus(X64,X62,X66)
| c_lessequals(X62,X64,X66)
| ~ c_lessequals(X63,X65,X66) ),
inference(variable_rename,[status(thm)],[c_0_475]) ).
fof(c_0_784_785,plain,
! [X53,X54,X55] :
( ~ class_Ring__and__Field_Oring__1(X55)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X54,X53,tc_nat),X55) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X54,X55),c_Nat_Osemiring__1__class_Oof__nat(X53,X55),X55)
| ~ c_lessequals(X53,X54,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_476]) ).
fof(c_0_785_786,plain,
! [X19,X20,X21,X22] :
( c_List_Orev(X21,X22) != c_List_Olist_OCons(X20,X19,X22)
| X21 = c_List_Oappend(c_List_Orev(X19,X22),c_List_Olist_OCons(X20,c_List_Olist_ONil(X22),X22),X22) ),
inference(variable_rename,[status(thm)],[c_0_477]) ).
fof(c_0_786_787,plain,
! [X26,X27,X28,X29] :
( c_Int_Onumber__class_Onumber__of(X28,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X27,X26,X29),X29),c_Int_Onumber__class_Onumber__of(X28,tc_nat)) = X27 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_478])])]) ).
fof(c_0_787_788,plain,
! [X54,X55,X56] :
( c_lessequals(X56,X54,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X55,X56,tc_nat),X54,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_479]) ).
fof(c_0_788_789,plain,
! [X54,X55,X56] :
( c_lessequals(X55,X54,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X55,X56,tc_nat),X54,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_480])])]) ).
fof(c_0_789_790,plain,
! [X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X21)
| c_HOL_Oplus__class_Oplus(X20,X19,X21) != c_HOL_Ozero__class_Ozero(X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X19,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| X19 = c_HOL_Ozero__class_Ozero(X21) ),
inference(variable_rename,[status(thm)],[c_0_481]) ).
fof(c_0_790_791,plain,
! [X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X21)
| c_HOL_Oplus__class_Oplus(X20,X19,X21) != c_HOL_Ozero__class_Ozero(X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X19,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| X20 = c_HOL_Ozero__class_Ozero(X21) ),
inference(variable_rename,[status(thm)],[c_0_482]) ).
fof(c_0_791_792,plain,
! [X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(variable_rename,[status(thm)],[c_0_483]) ).
fof(c_0_792_793,plain,
! [X31,X32,X33] :
( c_List_Otl(c_List_Oreplicate(X32,X31,X33),X33) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X32,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X31,X33)
| X32 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_484])])]) ).
fof(c_0_793_794,plain,
! [X31,X32,X33] :
( ~ class_Ring__and__Field_Oordered__semidom(X33)
| c_lessequals(c_HOL_Ozero__class_Ozero(X33),c_Power_Opower__class_Opower(X32,X31,X33),X33)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X33),X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_485]) ).
fof(c_0_794_795,plain,
! [X31,X32,X33] :
( ~ class_Ring__and__Field_Oordered__semidom(X33)
| c_lessequals(c_HOL_Oone__class_Oone(X33),c_Power_Opower__class_Opower(X32,X31,X33),X33)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X33),X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_486]) ).
fof(c_0_795_796,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
| c_lessequals(c_HOL_Ozero__class_Ozero(X26),c_HOL_Oplus__class_Oplus(X25,X25,X26),X26)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X26),X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_487]) ).
fof(c_0_796_797,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
| c_lessequals(c_HOL_Oplus__class_Oplus(X25,X25,X26),c_HOL_Ozero__class_Ozero(X26),X26)
| ~ c_lessequals(X25,c_HOL_Ozero__class_Ozero(X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_488]) ).
fof(c_0_797_798,plain,
! [X26,X27,X28,X29] :
( c_Int_Onumber__class_Onumber__of(X28,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Olist_OCons(X27,X26,X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_489])])]) ).
fof(c_0_798_799,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ominus__class_Ominus(X26,X25,X27),c_HOL_Ozero__class_Ozero(X27),X27)
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_490]) ).
fof(c_0_799_800,plain,
! [X65,X66] :
( ~ c_lessequals(X66,X65,tc_nat)
| X65 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X65,X66,tc_nat),X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_491]) ).
fof(c_0_800_801,plain,
! [X53,X54] :
( c_HOL_Oplus__class_Oplus(X53,c_HOL_Ominus__class_Ominus(X54,X53,tc_nat),tc_nat) = X54
| ~ c_lessequals(X53,X54,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_492]) ).
fof(c_0_801_802,plain,
! [X53,X54] :
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X54,X53,tc_nat),X53,tc_nat) = X54
| ~ c_lessequals(X53,X54,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_493]) ).
fof(c_0_802_803,plain,
! [X52,X53] :
( c_HOL_Ominus__class_Ominus(X52,c_HOL_Ominus__class_Ominus(X52,X53,tc_nat),tc_nat) = X53
| ~ c_lessequals(X53,X52,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_494]) ).
fof(c_0_803_804,plain,
! [X65,X66,X67] :
( c_lessequals(X67,c_HOL_Oplus__class_Oplus(X65,X66,tc_nat),tc_nat)
| ~ c_lessequals(X67,X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_495]) ).
fof(c_0_804_805,plain,
! [X65,X66,X67] :
( c_lessequals(X67,c_HOL_Oplus__class_Oplus(X66,X65,tc_nat),tc_nat)
| ~ c_lessequals(X67,X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_496]) ).
fof(c_0_805_806,plain,
! [X64,X65,X66] :
( c_lessequals(X66,c_HOL_Oplus__class_Oplus(X65,X64,tc_nat),tc_nat)
| ~ c_lessequals(X66,X64,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_497]) ).
fof(c_0_806_807,plain,
! [X64,X65,X66] :
( c_lessequals(X66,c_HOL_Oplus__class_Oplus(X65,X64,tc_nat),tc_nat)
| ~ c_lessequals(X66,X65,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_498]) ).
fof(c_0_807_808,plain,
! [X64,X65,X66,X67] :
( ~ class_Orderings_Opreorder(X67)
| c_lessequals(X66,X64,X67)
| ~ c_lessequals(X65,X64,X67)
| ~ c_lessequals(X66,X65,X67) ),
inference(variable_rename,[status(thm)],[c_0_499]) ).
fof(c_0_808_809,plain,
! [X64,X65,X66,X67] :
( ~ class_Orderings_Oorder(X67)
| c_lessequals(X64,X66,X67)
| ~ c_lessequals(X64,X65,X67)
| ~ c_lessequals(X65,X66,X67) ),
inference(variable_rename,[status(thm)],[c_0_500]) ).
fof(c_0_809_810,plain,
! [X53,X54,X55] :
( ~ class_Ring__and__Field_Osemiring__1(X55)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X54,X53,tc_nat),X55) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X54,X55),c_Nat_Osemiring__1__class_Oof__nat(X53,X55),X55) ),
inference(variable_rename,[status(thm)],[c_0_501]) ).
fof(c_0_810_811,plain,
! [X53,X54,X55] :
( ~ class_Ring__and__Field_Oordered__semidom(X55)
| c_lessequals(X54,X53,tc_nat)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X54,X55),c_Nat_Osemiring__1__class_Oof__nat(X53,X55),X55) ),
inference(variable_rename,[status(thm)],[c_0_502]) ).
fof(c_0_811_812,plain,
! [X65,X66,X67] :
( c_lessequals(X67,X65,tc_nat)
| ~ c_lessequals(X66,X65,tc_nat)
| ~ c_lessequals(X67,X66,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_503]) ).
fof(c_0_812_813,plain,
! [X31,X32,X33,X34,X35] :
( c_List_Odrop(X34,X33,X35) != c_List_Olist_OCons(X32,X31,X35)
| hAPP(c_List_Onth(X33,X35),X34) = X32 ),
inference(variable_rename,[status(thm)],[c_0_504]) ).
fof(c_0_813_814,plain,
! [X26,X27,X28,X29] :
( c_Int_Onumber__class_Onumber__of(X28,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(c_Int_Onumber__class_Onumber__of(X28,tc_nat),c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Olist_ONil(X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_505])])]) ).
fof(c_0_814_815,plain,
! [X18,X19,X20] :
( c_List_Obutlast(c_List_Olist_OCons(X19,X18,X20),X20) = c_List_Olist_OCons(X19,c_List_Obutlast(X18,X20),X20)
| X18 = c_List_Olist_ONil(X20) ),
inference(variable_rename,[status(thm)],[c_0_506]) ).
fof(c_0_815_816,plain,
! [X8,X9,X10] :
( c_List_Otl(c_List_Oappend(X9,X8,X10),X10) = c_List_Oappend(c_List_Otl(X9,X10),X8,X10)
| X9 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_507]) ).
fof(c_0_816_817,plain,
! [X8,X9,X10] :
( c_List_Obutlast(c_List_Oappend(X9,X8,X10),X10) = c_List_Oappend(X9,c_List_Obutlast(X8,X10),X10)
| X8 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_508]) ).
fof(c_0_817_818,plain,
! [X31,X32,X33] :
( c_List_Orotate(X32,X31,X33) = X31
| ~ c_lessequals(c_Nat_Osize__class_Osize(X31,tc_List_Olist(X33)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_509]) ).
fof(c_0_818_819,plain,
! [X31,X32,X33] :
( c_List_Odrop(X32,X31,X33) = c_List_Olist_ONil(X33)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X31,tc_List_Olist(X33)),X32,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_510]) ).
fof(c_0_819_820,plain,
! [X31,X32,X33] :
( c_List_Otake(X32,X31,X33) = X31
| ~ c_lessequals(c_Nat_Osize__class_Osize(X31,tc_List_Olist(X33)),X32,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_511]) ).
fof(c_0_820_821,plain,
! [X53,X54,X55] :
( ~ class_Ring__and__Field_Oordered__semidom(X55)
| c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X54,X55),c_Nat_Osemiring__1__class_Oof__nat(X53,X55),X55)
| ~ c_lessequals(X54,X53,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_512]) ).
fof(c_0_821_822,plain,
! [X64,X65,X66,X67] :
( ~ class_Ring__and__Field_Oidom(X67)
| ~ class_Int_Onumber__ring(X67)
| c_HOL_Oplus__class_Oplus(X66,X65,X67) != c_HOL_Oplus__class_Oplus(X66,X64,X67)
| X65 = X64 ),
inference(variable_rename,[status(thm)],[c_0_513]) ).
fof(c_0_822_823,plain,
! [X31,X32,X33] :
( c_List_Odrop(X32,X31,X33) != c_List_Olist_ONil(X33)
| c_lessequals(c_Nat_Osize__class_Osize(X31,tc_List_Olist(X33)),X32,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_514]) ).
fof(c_0_823_824,plain,
! [X19,X20,X21] :
( ~ class_Orderings_Oorder(X21)
| X20 = X19
| ~ c_lessequals(X20,X19,X21)
| ~ c_lessequals(X19,X20,X21) ),
inference(variable_rename,[status(thm)],[c_0_515]) ).
fof(c_0_824_825,plain,
! [X19,X20,X21] :
( ~ class_Orderings_Oorder(X21)
| X20 = X19
| ~ c_lessequals(X19,X20,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_516]) ).
fof(c_0_825_826,plain,
! [X19,X20,X21] :
( ~ class_Orderings_Oorder(X21)
| X20 = X19
| ~ c_lessequals(X19,X20,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_517]) ).
fof(c_0_826_827,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X28)
| c_HOL_Oplus__class_Oplus(X27,X26,X28) != c_HOL_Oplus__class_Oplus(X27,X25,X28)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_518]) ).
fof(c_0_827_828,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X28)
| c_HOL_Oplus__class_Oplus(X27,X26,X28) != c_HOL_Oplus__class_Oplus(X27,X25,X28)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_519]) ).
fof(c_0_828_829,plain,
! [X25,X26,X27,X28] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X28)
| c_HOL_Oplus__class_Oplus(X26,X27,X28) != c_HOL_Oplus__class_Oplus(X25,X27,X28)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_520]) ).
fof(c_0_829_830,plain,
! [X34,X35,X36,X37] :
( ~ class_OrderedGroup_Oab__group__add(X37)
| c_HOL_Ominus__class_Ominus(X35,X34,X37) != c_HOL_Ominus__class_Ominus(X36,X36,X37)
| X35 = X34 ),
inference(variable_rename,[status(thm)],[c_0_521]) ).
fof(c_0_830_831,plain,
! [X62,X63,X64,X65] :
( ~ class_OrderedGroup_Oab__group__add(X65)
| c_HOL_Ominus__class_Ominus(X64,X64,X65) != c_HOL_Ominus__class_Ominus(X63,X62,X65)
| X63 = X62 ),
inference(variable_rename,[status(thm)],[c_0_522]) ).
fof(c_0_831_832,plain,
! [X18,X19,X20] :
( c_List_Olist_OCons(X19,c_List_Olist_ONil(X20),X20) != c_List_Orev(X18,X20)
| X18 = c_List_Olist_OCons(X19,c_List_Olist_ONil(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_523]) ).
fof(c_0_832_833,plain,
! [X18,X19,X20] :
( c_List_Orev(X18,X20) != c_List_Olist_OCons(X19,c_List_Olist_ONil(X20),X20)
| X18 = c_List_Olist_OCons(X19,c_List_Olist_ONil(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_524]) ).
fof(c_0_833_834,plain,
! [X53,X54,X55,X56,X57] :
( c_List_Oreplicate(X56,X54,X57) != c_List_Oreplicate(X55,X53,X57)
| X54 = X53
| X56 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_525])])]) ).
fof(c_0_834_835,plain,
! [X53,X54] :
( c_HOL_Ominus__class_Ominus(X53,X54,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X54,X53,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X54 = X53 ),
inference(variable_rename,[status(thm)],[c_0_526]) ).
fof(c_0_835_836,plain,
! [X53,X54,X55,X56,X57] :
( c_List_Oreplicate(X56,X54,X57) != c_List_Oreplicate(X55,X53,X57)
| X56 = X55 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_527])])]) ).
fof(c_0_836_837,plain,
! [X48,X49,X50,X51] :
( c_List_Oappend(X49,X50,X51) != c_List_Oappend(X48,X50,X51)
| X49 = X48 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_528])])]) ).
fof(c_0_837_838,plain,
! [X48,X49,X50,X51] :
( c_List_Oappend(X50,X49,X51) != c_List_Oappend(X50,X48,X51)
| X49 = X48 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_529])])]) ).
fof(c_0_838_839,plain,
! [X43,X44,X45,X46,X47] :
( c_List_Olist_OCons(X46,X44,X47) != c_List_Olist_OCons(X45,X43,X47)
| X46 = X45 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_530])])]) ).
fof(c_0_839_840,plain,
! [X43,X44,X45,X46,X47] :
( c_List_Olist_OCons(X46,X44,X47) != c_List_Olist_OCons(X45,X43,X47)
| X44 = X43 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_531])])]) ).
fof(c_0_840_841,plain,
! [X53,X54] :
( X54 = X53
| ~ c_lessequals(X53,X54,tc_nat)
| ~ c_lessequals(X54,X53,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_532]) ).
fof(c_0_841_842,plain,
! [X4,X5,X6] :
( X5 = X4
| ~ hBOOL(hAPP(hAPP(c_fequal(X6),X5),X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_533])])]) ).
fof(c_0_842_843,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Ogroup__add(X27)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X26,X25,X27),X25,X27) = X26 ),
inference(variable_rename,[status(thm)],[c_0_534]) ).
fof(c_0_843_844,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Ogroup__add(X27)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X26,X25,X27),X25,X27) = X26 ),
inference(variable_rename,[status(thm)],[c_0_535]) ).
fof(c_0_844_845,plain,
! [X64,X65,X66] :
( c_HOL_Oplus__class_Oplus(X66,X65,tc_nat) != c_HOL_Oplus__class_Oplus(X66,X64,tc_nat)
| X65 = X64 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_536])])]) ).
fof(c_0_845_846,plain,
! [X54,X55,X56] :
( c_HOL_Oplus__class_Oplus(X55,X56,tc_nat) != c_HOL_Oplus__class_Oplus(X54,X56,tc_nat)
| X55 = X54 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_537])])]) ).
fof(c_0_846_847,plain,
! [X54,X55,X56] :
( c_HOL_Oplus__class_Oplus(X56,X55,tc_nat) != c_HOL_Oplus__class_Oplus(X56,X54,tc_nat)
| X55 = X54 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_538])])]) ).
fof(c_0_847_848,plain,
! [X8,X9] :
( c_List_Orotate1(X8,X9) = X8
| ~ c_lessequals(c_Nat_Osize__class_Osize(X8,tc_List_Olist(X9)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_539]) ).
fof(c_0_848_849,plain,
! [X53,X54] :
( c_HOL_Ominus__class_Ominus(X54,X53,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_lessequals(X54,X53,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_540]) ).
fof(c_0_849_850,plain,
! [X53,X54] :
( c_HOL_Ominus__class_Ominus(X54,X53,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X54,X53,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_541]) ).
fof(c_0_850_851,plain,
! [X31,X32,X33] :
( ~ class_Ring__and__Field_Ozero__neq__one(X33)
| ~ class_Ring__and__Field_Ono__zero__divisors(X33)
| ~ class_Ring__and__Field_Omult__zero(X33)
| ~ class_Power_Opower(X33)
| c_Power_Opower__class_Opower(X32,X31,X33) != c_HOL_Ozero__class_Ozero(X33)
| X32 = c_HOL_Ozero__class_Ozero(X33) ),
inference(variable_rename,[status(thm)],[c_0_542]) ).
fof(c_0_851_852,plain,
! [X25,X26] :
( ~ class_Ring__and__Field_Ozero__neq__one(X26)
| ~ class_Ring__and__Field_Ono__zero__divisors(X26)
| ~ class_Ring__and__Field_Omult__zero(X26)
| ~ class_Power_Opower(X26)
| c_Power_Opower__class_Opower(X25,c_HOL_Ozero__class_Ozero(tc_nat),X26) != c_HOL_Ozero__class_Ozero(X26) ),
inference(variable_rename,[status(thm)],[c_0_543]) ).
fof(c_0_852_853,plain,
! [X19,X20,X21] :
( ~ class_Orderings_Olinorder(X21)
| c_lessequals(X19,X20,X21)
| c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_544]) ).
fof(c_0_853_854,plain,
! [X25,X26,X27] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X27)
| c_HOL_Oplus__class_Oplus(X26,X25,X27) = c_HOL_Oplus__class_Oplus(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_545]) ).
fof(c_0_854_855,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X27)
| c_HOL_Oplus__class_Oplus(X26,X25,X27) = c_HOL_Oplus__class_Oplus(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_546]) ).
fof(c_0_855_856,plain,
! [X19,X20,X21] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X21)
| c_HOL_Oplus__class_Oplus(X20,X19,X21) = c_HOL_Oplus__class_Oplus(X19,X20,X21) ),
inference(variable_rename,[status(thm)],[c_0_547]) ).
fof(c_0_856_857,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(variable_rename,[status(thm)],[c_0_548]) ).
fof(c_0_857_858,plain,
! [X19,X20,X21] :
( ~ class_Ring__and__Field_Oidom(X21)
| ~ class_Int_Onumber__ring(X21)
| c_HOL_Ominus__class_Ominus(X20,X19,X21) != c_HOL_Ozero__class_Ozero(X21)
| X20 = X19 ),
inference(variable_rename,[status(thm)],[c_0_549]) ).
fof(c_0_858_859,plain,
! [X25,X26,X27] :
( ~ class_Ring__and__Field_Oidom(X27)
| ~ class_Int_Onumber__ring(X27)
| X25 != c_HOL_Oplus__class_Oplus(X25,X26,X27)
| X26 = c_HOL_Ozero__class_Ozero(X27) ),
inference(variable_rename,[status(thm)],[c_0_550]) ).
fof(c_0_859_860,plain,
! [X53,X54] :
( c_lessequals(X53,X54,tc_nat)
| c_lessequals(X54,X53,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_551]) ).
fof(c_0_860_861,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
| c_HOL_Oplus__class_Oplus(X25,X25,X26) != c_HOL_Ozero__class_Ozero(X26)
| X25 = c_HOL_Ozero__class_Ozero(X26) ),
inference(variable_rename,[status(thm)],[c_0_552]) ).
fof(c_0_861_862,plain,
! [X31,X32,X33] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X33)
| c_Power_Opower__class_Opower(X32,X31,X33) != c_HOL_Ozero__class_Ozero(X33)
| X32 = c_HOL_Ozero__class_Ozero(X33) ),
inference(variable_rename,[status(thm)],[c_0_553]) ).
fof(c_0_862_863,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Ogroup__add(X27)
| c_HOL_Ominus__class_Ominus(X26,X25,X27) != c_HOL_Ozero__class_Ozero(X27)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_554]) ).
fof(c_0_863_864,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Oab__group__add(X27)
| c_HOL_Ominus__class_Ominus(X26,X25,X27) != c_HOL_Ozero__class_Ozero(X27)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_555]) ).
fof(c_0_864_865,plain,
! [X31,X32,X33] :
( c_List_Otake(X32,X31,X33) != c_List_Olist_ONil(X33)
| X31 = c_List_Olist_ONil(X33)
| X32 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_556]) ).
fof(c_0_865_866,plain,
! [X31,X32,X33] :
( c_List_Orotate(X32,X31,X33) != c_List_Olist_ONil(X33)
| X31 = c_List_Olist_ONil(X33) ),
inference(variable_rename,[status(thm)],[c_0_557]) ).
fof(c_0_866_867,plain,
! [X8,X9,X10] :
( c_List_Olist_ONil(X10) != c_List_Oappend(X9,X8,X10)
| X9 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_558]) ).
fof(c_0_867_868,plain,
! [X8,X9,X10] :
( c_List_Olist_ONil(X10) != c_List_Oappend(X9,X8,X10)
| X8 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_559]) ).
fof(c_0_868_869,plain,
! [X8,X9,X10] :
( c_List_Oappend(X9,X8,X10) != c_List_Olist_ONil(X10)
| X9 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_560]) ).
fof(c_0_869_870,plain,
! [X8,X9,X10] :
( c_List_Oappend(X9,X8,X10) != c_List_Olist_ONil(X10)
| X8 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_561]) ).
fof(c_0_870_871,plain,
! [X31,X32] :
( ~ class_Ring__and__Field_Ozero__neq__one(X32)
| ~ class_Ring__and__Field_Ono__zero__divisors(X32)
| ~ class_Ring__and__Field_Omult__zero(X32)
| ~ class_Power_Opower(X32)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X32),X31,X32) = c_HOL_Ozero__class_Ozero(X32)
| X31 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_562]) ).
fof(c_0_871_872,plain,
! [X31,X32,X33] :
( c_List_Oreplicate(X32,X31,X33) != c_List_Olist_ONil(X33)
| X32 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_563])])]) ).
fof(c_0_872_873,plain,
! [X31,X32,X33] :
( c_List_Olist_ONil(X33) != c_List_Oreplicate(X32,X31,X33)
| X32 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_564])])]) ).
fof(c_0_873_874,plain,
! [X31,X32] :
( ~ class_Ring__and__Field_Oordered__semidom(X32)
| c_lessequals(c_HOL_Ozero__class_Ozero(X32),c_Nat_Osemiring__1__class_Oof__nat(X31,X32),X32) ),
inference(variable_rename,[status(thm)],[c_0_565]) ).
fof(c_0_874_875,plain,
! [X53,X54] :
( ~ class_Ring__and__Field_Oordered__semidom(X54)
| c_lessequals(c_HOL_Ozero__class_Ozero(X54),c_Nat_Osemiring__1__class_Oof__nat(X53,X54),X54) ),
inference(variable_rename,[status(thm)],[c_0_566]) ).
fof(c_0_875_876,plain,
! [X8,X9,X10] :
( c_List_Oappend(X9,X8,X10) != X9
| X8 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_567]) ).
fof(c_0_876_877,plain,
! [X8,X9,X10] :
( X9 != c_List_Oappend(X9,X8,X10)
| X8 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_568]) ).
fof(c_0_877_878,plain,
! [X8,X9,X10] :
( c_List_Oappend(X9,X8,X10) != X8
| X9 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_569]) ).
fof(c_0_878_879,plain,
! [X8,X9,X10] :
( X8 != c_List_Oappend(X9,X8,X10)
| X9 = c_List_Olist_ONil(X10) ),
inference(variable_rename,[status(thm)],[c_0_570]) ).
fof(c_0_879_880,plain,
! [X31] :
( X31 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X31,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_571]) ).
fof(c_0_880_881,plain,
! [X53,X54] :
( c_HOL_Oplus__class_Oplus(X54,X53,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X54 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_572]) ).
fof(c_0_881_882,plain,
! [X53,X54] :
( c_HOL_Oplus__class_Oplus(X54,X53,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X53 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_573])])]) ).
fof(c_0_882_883,plain,
! [X53,X54] :
( c_HOL_Oplus__class_Oplus(X54,X53,tc_nat) != X54
| X53 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_574])])]) ).
fof(c_0_883_884,plain,
! [X25,X26] :
( X25 != c_HOL_Oplus__class_Oplus(X25,X26,tc_nat)
| X26 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_575]) ).
fof(c_0_884_885,plain,
! [X31,X32] :
( ~ class_Ring__and__Field_Osemiring__0(X32)
| ~ class_Power_Opower(X32)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X32),X31,X32) = c_HOL_Ozero__class_Ozero(X32)
| X31 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_576]) ).
fof(c_0_885_886,plain,
! [X4] :
( ~ class_Ring__and__Field_Osemiring__0(X4)
| ~ class_Power_Opower(X4)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(tc_nat),X4) = c_HOL_Oone__class_Oone(X4) ),
inference(variable_rename,[status(thm)],[c_0_577]) ).
fof(c_0_886_887,plain,
! [X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(variable_rename,[status(thm)],[c_0_578]) ).
fof(c_0_887_888,plain,
! [X18,X19] :
( ~ class_Ring__and__Field_Oidom(X19)
| ~ class_Int_Onumber__ring(X19)
| X18 = c_HOL_Oplus__class_Oplus(X18,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_579]) ).
fof(c_0_888_889,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
inference(variable_rename,[status(thm)],[c_0_580]) ).
fof(c_0_889_890,plain,
! [X18,X19] :
( ~ class_Ring__and__Field_Oidom(X19)
| ~ class_Int_Onumber__ring(X19)
| c_HOL_Ominus__class_Ominus(X18,X18,X19) = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_581]) ).
fof(c_0_890_891,plain,
! [X31,X32] :
( ~ class_OrderedGroup_Omonoid__mult(X32)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X32),X31,X32) = c_HOL_Oone__class_Oone(X32) ),
inference(variable_rename,[status(thm)],[c_0_582]) ).
fof(c_0_891_892,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X26)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X26),X25,X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_583]) ).
fof(c_0_892_893,plain,
! [X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X19),X18,X19) = X18 ),
inference(variable_rename,[status(thm)],[c_0_584]) ).
fof(c_0_893_894,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X26)
| c_HOL_Oplus__class_Oplus(X25,c_HOL_Ozero__class_Ozero(X26),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_585]) ).
fof(c_0_894_895,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Omonoid__add(X26)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X26),X25,X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_586]) ).
fof(c_0_895_896,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Omonoid__add(X26)
| c_HOL_Oplus__class_Oplus(X25,c_HOL_Ozero__class_Ozero(X26),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_587]) ).
fof(c_0_896_897,plain,
! [X25,X26] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X26)
| c_HOL_Oplus__class_Oplus(X25,c_HOL_Ozero__class_Ozero(X26),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_588]) ).
fof(c_0_897_898,plain,
! [X25,X26] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X26)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X26),X25,X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_589]) ).
fof(c_0_898_899,plain,
! [X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
| c_Power_Opower__class_Opower(X18,c_HOL_Ozero__class_Ozero(tc_nat),X19) = c_HOL_Oone__class_Oone(X19) ),
inference(variable_rename,[status(thm)],[c_0_590]) ).
fof(c_0_899_900,plain,
! [X25,X26] :
( ~ class_Power_Opower(X26)
| c_Power_Opower__class_Opower(X25,c_HOL_Ozero__class_Ozero(tc_nat),X26) = c_HOL_Oone__class_Oone(X26) ),
inference(variable_rename,[status(thm)],[c_0_591]) ).
fof(c_0_900_901,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ogroup__add(X26)
| c_HOL_Ominus__class_Ominus(X25,c_HOL_Ozero__class_Ozero(X26),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_592]) ).
fof(c_0_901_902,plain,
! [X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
| c_Power_Opower__class_Opower(X18,c_HOL_Oone__class_Oone(tc_nat),X19) = X18 ),
inference(variable_rename,[status(thm)],[c_0_593]) ).
fof(c_0_902_903,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Omonoid__mult(X26)
| c_Power_Opower__class_Opower(X25,c_HOL_Oone__class_Oone(tc_nat),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_594]) ).
fof(c_0_903_904,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ogroup__add(X26)
| c_HOL_Ominus__class_Ominus(X25,X25,X26) = c_HOL_Ozero__class_Ozero(X26) ),
inference(variable_rename,[status(thm)],[c_0_595]) ).
fof(c_0_904_905,plain,
! [X18,X19] :
( ~ class_OrderedGroup_Ogroup__add(X19)
| c_HOL_Ominus__class_Ominus(X18,X18,X19) = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_596]) ).
fof(c_0_905_906,plain,
! [X18,X19] :
( ~ class_OrderedGroup_Oab__group__add(X19)
| c_HOL_Ominus__class_Ominus(X18,X18,X19) = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_597]) ).
fof(c_0_906_907,plain,
! [X18,X19] :
( ~ class_Orderings_Opreorder(X19)
| c_lessequals(X18,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_598]) ).
fof(c_0_907_908,plain,
! [X18,X19] :
( ~ class_Orderings_Oorder(X19)
| c_lessequals(X18,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_599]) ).
fof(c_0_908_909,plain,
! [X19,X20,X21] :
( ~ class_Int_Oring__char__0(X21)
| ~ class_Int_Onumber__ring(X21)
| c_Int_Onumber__class_Onumber__of(X20,X21) != c_Int_Onumber__class_Onumber__of(X19,X21)
| X20 = X19 ),
inference(variable_rename,[status(thm)],[c_0_600]) ).
fof(c_0_909_910,plain,
! [X50,X51,X52] :
( c_Objects_Ohext(X52,X50)
| ~ c_Objects_Ohext(X51,X50)
| ~ c_Objects_Ohext(X52,X51) ),
inference(variable_rename,[status(thm)],[c_0_601]) ).
fof(c_0_910_911,plain,
! [X53,X54,X55] :
( ~ class_Nat_Osemiring__char__0(X55)
| c_Nat_Osemiring__1__class_Oof__nat(X54,X55) != c_Nat_Osemiring__1__class_Oof__nat(X53,X55)
| X54 = X53 ),
inference(variable_rename,[status(thm)],[c_0_602]) ).
fof(c_0_911_912,plain,
! [X8,X9,X10] :
( c_List_Orev(X9,X10) != c_List_Orev(X8,X10)
| X9 = X8 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_603])])]) ).
fof(c_0_912_913,plain,
! [X39,X40,X41] :
( c_Expr_Oexp_OVal(X40,X41) != c_Expr_Oexp_OVal(X39,X41)
| X40 = X39 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_604])])]) ).
fof(c_0_913_914,plain,
! [X8,X9] :
( c_Nat_Osize__class_Osize(X8,tc_List_Olist(X9)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X8 = c_List_Olist_ONil(X9) ),
inference(variable_rename,[status(thm)],[c_0_605]) ).
fof(c_0_914_915,plain,
! [X6,X7] :
( class_Orderings_Opreorder(tc_fun(X6,X7))
| ~ class_Orderings_Opreorder(X7) ),
inference(variable_rename,[status(thm)],[c_0_606]) ).
fof(c_0_915_916,plain,
! [X6,X7] :
( class_Orderings_Oorder(tc_fun(X6,X7))
| ~ class_Orderings_Oorder(X7) ),
inference(variable_rename,[status(thm)],[c_0_607]) ).
fof(c_0_916_917,plain,
! [X8,X9] :
( c_List_Orotate1(X8,X9) != c_List_Olist_ONil(X9)
| X8 = c_List_Olist_ONil(X9) ),
inference(variable_rename,[status(thm)],[c_0_608]) ).
fof(c_0_917_918,plain,
! [X8,X9] :
( c_List_Orev(X8,X9) != c_List_Olist_ONil(X9)
| X8 = c_List_Olist_ONil(X9) ),
inference(variable_rename,[status(thm)],[c_0_609]) ).
fof(c_0_918_919,plain,
! [X8,X9] :
( c_List_Olist_ONil(X9) != c_List_Orev(X8,X9)
| X8 = c_List_Olist_ONil(X9) ),
inference(variable_rename,[status(thm)],[c_0_610]) ).
fof(c_0_919_920,plain,
! [X4] :
( ~ class_Ring__and__Field_Osemiring__1(X4)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X4) = c_HOL_Oone__class_Oone(X4) ),
inference(variable_rename,[status(thm)],[c_0_611]) ).
fof(c_0_920_921,plain,
! [X4] :
( ~ class_Ring__and__Field_Osemiring__1(X4)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(variable_rename,[status(thm)],[c_0_612]) ).
fof(c_0_921_922,plain,
! [X4] :
( ~ class_Ring__and__Field_Ozero__neq__one(X4)
| c_HOL_Oone__class_Oone(X4) != c_HOL_Ozero__class_Ozero(X4) ),
inference(variable_rename,[status(thm)],[c_0_613]) ).
fof(c_0_922_923,plain,
! [X4] :
( ~ class_Ring__and__Field_Ozero__neq__one(X4)
| c_HOL_Ozero__class_Ozero(X4) != c_HOL_Oone__class_Oone(X4) ),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_923_924,plain,
! [X43,X44] :
( c_Type_Oty_OClass(X44) != c_Type_Oty_OClass(X43)
| X44 = X43 ),
inference(variable_rename,[status(thm)],[c_0_615]) ).
cnf(c_0_924_925,plain,
( X9 = X4
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(split_conjunct,[status(thm)],[c_0_616]) ).
cnf(c_0_925_926,plain,
( X10 = X5
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(split_conjunct,[status(thm)],[c_0_617]) ).
cnf(c_0_926_927,plain,
( X11 = X6
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(split_conjunct,[status(thm)],[c_0_618]) ).
cnf(c_0_927_928,plain,
( X12 = X7
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(split_conjunct,[status(thm)],[c_0_619]) ).
cnf(c_0_928_929,plain,
( c_TypeRel_OMethod(X1,X7,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_620]) ).
cnf(c_0_929_930,plain,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_621]) ).
cnf(c_0_930_931,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_622]) ).
cnf(c_0_931_932,plain,
( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_623]) ).
cnf(c_0_932_933,plain,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3)),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_624]) ).
cnf(c_0_933_934,plain,
( X4 = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_625]) ).
cnf(c_0_934_935,plain,
( X2 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X6)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_626]) ).
cnf(c_0_935_936,plain,
( X5 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_627]) ).
cnf(c_0_936_937,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_628]) ).
cnf(c_0_937_938,plain,
( c_List_Olist__all2(X1,X3,c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X4,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_629]) ).
cnf(c_0_938_939,plain,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),X4,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_630]) ).
cnf(c_0_939_940,plain,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X4,X6,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_631]) ).
cnf(c_0_940_941,plain,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),X3,X6,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_941_942,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_942_943,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_943_944,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X4,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_944_945,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_945_946,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_946_947,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_947_948,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(split_conjunct,[status(thm)],[c_0_639]) ).
cnf(c_0_948_949,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(split_conjunct,[status(thm)],[c_0_640]) ).
cnf(c_0_949_950,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(split_conjunct,[status(thm)],[c_0_641]) ).
cnf(c_0_950_951,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(split_conjunct,[status(thm)],[c_0_642]) ).
cnf(c_0_951_952,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_952_953,plain,
( X5 = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_953_954,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_954_955,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_955_956,plain,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_647]) ).
cnf(c_0_956_957,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_957_958,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_958_959,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_959_960,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_651]) ).
cnf(c_0_960_961,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_961_962,plain,
( c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_962_963,plain,
( c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_654]) ).
cnf(c_0_963_964,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_655]) ).
cnf(c_0_964_965,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_965_966,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X6,tc_Value_Oval),c_List_Olist_OCons(X5,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X6,X7,tc_Value_Oval,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_966_967,plain,
( v_thesis____
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_658]) ).
cnf(c_0_967_968,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_659]) ).
cnf(c_0_968_969,plain,
( c_List_Olist__all2(X1,X2,X5,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_969_970,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_970_971,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_971_972,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_972_973,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_973_974,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_974_975,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_975_976,plain,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_976_977,plain,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_977_978,plain,
( c_List_Olist__all2(X1,X2,X4,X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_978_979,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_979_980,plain,
( c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_980_981,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_981_982,plain,
( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_982_983,plain,
( c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_674]) ).
cnf(c_0_983_984,plain,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_675]) ).
cnf(c_0_984_985,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_676]) ).
cnf(c_0_985_986,plain,
( c_Progress_OWTrts_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_677]) ).
cnf(c_0_986_987,plain,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_678]) ).
cnf(c_0_987_988,plain,
( X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_679]) ).
cnf(c_0_988_989,plain,
( c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_680]) ).
cnf(c_0_989_990,plain,
( X1 = c_List_Olist_OCons(X2,X3,X4)
| X5 = c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4)
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_681]) ).
cnf(c_0_990,plain,
( c_List_Olist_OCons(X1,X2,X3) = X4
| X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3)
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_682]) ).
cnf(c_0_991,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2)
| c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_992,plain,
( X1 = c_List_Olist_ONil(X2)
| X1 = c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2)
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_684]) ).
cnf(c_0_993,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_994,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_995,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_687]) ).
cnf(c_0_996,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_688]) ).
cnf(c_0_997,plain,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_689]) ).
cnf(c_0_998,plain,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_690]) ).
cnf(c_0_999,plain,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_691]) ).
cnf(c_0_1000,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_692]) ).
cnf(c_0_1001,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_693]) ).
cnf(c_0_1002,plain,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_694]) ).
cnf(c_0_1003,plain,
( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
| ~ c_WellType_OWT(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_1004,plain,
( c_WellTypeRT_OWTrts(X1,X5,X2,X3,X4)
| ~ c_WellType_OWTs(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_696]) ).
cnf(c_0_1005,plain,
( c_List_Olist__all2(X1,X3,X3,X2,X2)
| ~ hBOOL(hAPP(hAPP(X1,c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2)),c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_697]) ).
cnf(c_0_1006,plain,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_698]) ).
cnf(c_0_1007,plain,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
| ~ c_Objects_Ohext(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_699]) ).
cnf(c_0_1008,plain,
( c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X4,X6,tc_Type_Oty))
| ~ c_WellType_OWT(X1,X2,X3,X4)
| ~ c_WellType_OWTs(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_700]) ).
cnf(c_0_1009,plain,
( X1 = X2
| hAPP(c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X5),X2) = hAPP(c_List_Onth(X3,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_701]) ).
cnf(c_0_1010,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat))) ),
inference(split_conjunct,[status(thm)],[c_0_702]) ).
cnf(c_0_1011,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat))) ),
inference(split_conjunct,[status(thm)],[c_0_703]) ).
cnf(c_0_1012,plain,
( c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Otake(X1,X3,X4),c_List_Otake(X2,c_List_Odrop(X1,X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_704]) ).
cnf(c_0_1013,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_705]) ).
cnf(c_0_1014,plain,
( X1 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_List_Obutlast(c_List_Olist__update(X2,X1,X4,X3),X3) = c_List_Olist__update(c_List_Obutlast(X2,X3),X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_706]) ).
cnf(c_0_1015,plain,
( c_List_Oappend(X1,X2,X3) = c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_707]) ).
cnf(c_0_1016,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_708]) ).
cnf(c_0_1017,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_709]) ).
cnf(c_0_1018,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_710]) ).
cnf(c_0_1019,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_711]) ).
cnf(c_0_1020,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_712]) ).
cnf(c_0_1021,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_713]) ).
cnf(c_0_1022,plain,
( hAPP(c_List_Onth(c_List_Odrop(X1,X3,X4),X4),X2) = hAPP(c_List_Onth(X3,X4),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_714]) ).
cnf(c_0_1023,plain,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_1024,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_716]) ).
cnf(c_0_1025,plain,
( X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_717]) ).
cnf(c_0_1026,plain,
( c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_718]) ).
cnf(c_0_1027,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1028,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_720]) ).
cnf(c_0_1029,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_721]) ).
cnf(c_0_1030,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_722]) ).
cnf(c_0_1031,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_723]) ).
cnf(c_0_1032,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_724]) ).
cnf(c_0_1033,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_725]) ).
cnf(c_0_1034,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_726]) ).
cnf(c_0_1035,plain,
( c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_727]) ).
cnf(c_0_1036,plain,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
inference(split_conjunct,[status(thm)],[c_0_728]) ).
cnf(c_0_1037,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_729]) ).
cnf(c_0_1038,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_730]) ).
cnf(c_0_1039,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1040,plain,
( X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_732]) ).
cnf(c_0_1041,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_733]) ).
cnf(c_0_1042,plain,
( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_734]) ).
cnf(c_0_1043,plain,
( c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_735]) ).
cnf(c_0_1044,plain,
( c_lessequals(X3,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_736]) ).
cnf(c_0_1045,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_737]) ).
cnf(c_0_1046,plain,
( c_List_Obutlast(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_738]) ).
cnf(c_0_1047,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X4,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_739]) ).
cnf(c_0_1048,plain,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_740]) ).
cnf(c_0_1049,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),X1) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
inference(split_conjunct,[status(thm)],[c_0_741]) ).
cnf(c_0_1050,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_742]) ).
cnf(c_0_1051,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_743]) ).
cnf(c_0_1052,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_744]) ).
cnf(c_0_1053,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_745]) ).
cnf(c_0_1054,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_746]) ).
cnf(c_0_1055,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_747]) ).
cnf(c_0_1056,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_748]) ).
cnf(c_0_1057,plain,
( c_HOL_Ominus__class_Ominus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_749]) ).
cnf(c_0_1058,plain,
( c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_1059,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_751]) ).
cnf(c_0_1060,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_752]) ).
cnf(c_0_1061,plain,
( c_List_Olist__update(X1,X3,X4,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_1062,plain,
( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
| X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_754]) ).
cnf(c_0_1063,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Nat_Onat_Onat__case(X2,X3,X1,X4) = hAPP(X3,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1064,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_756]) ).
cnf(c_0_1065,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_757]) ).
cnf(c_0_1066,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_758]) ).
cnf(c_0_1067,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_759]) ).
cnf(c_0_1068,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_760]) ).
cnf(c_0_1069,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_761]) ).
cnf(c_0_1070,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_762]) ).
cnf(c_0_1071,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_763]) ).
cnf(c_0_1072,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_764]) ).
cnf(c_0_1073,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_765]) ).
cnf(c_0_1074,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_766]) ).
cnf(c_0_1075,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_767]) ).
cnf(c_0_1076,plain,
( X1 = X2
| ~ c_lessequals(X3,X1,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_768]) ).
cnf(c_0_1077,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_769]) ).
cnf(c_0_1078,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_770]) ).
cnf(c_0_1079,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_771]) ).
cnf(c_0_1080,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_772]) ).
cnf(c_0_1081,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_773]) ).
cnf(c_0_1082,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_774]) ).
cnf(c_0_1083,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_775]) ).
cnf(c_0_1084,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_776]) ).
cnf(c_0_1085,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_777]) ).
cnf(c_0_1086,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_778]) ).
cnf(c_0_1087,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_779]) ).
cnf(c_0_1088,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_780]) ).
cnf(c_0_1089,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_1090,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_782]) ).
cnf(c_0_1091,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_783]) ).
cnf(c_0_1092,plain,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X3),c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_784]) ).
cnf(c_0_1093,plain,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_785]) ).
cnf(c_0_1094,plain,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat)) = X1
| c_Int_Onumber__class_Onumber__of(X4,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_786]) ).
cnf(c_0_1095,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_787]) ).
cnf(c_0_1096,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_788]) ).
cnf(c_0_1097,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_789]) ).
cnf(c_0_1098,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_790]) ).
cnf(c_0_1099,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_791]) ).
cnf(c_0_1100,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_792]) ).
cnf(c_0_1101,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_793]) ).
cnf(c_0_1102,plain,
( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_794]) ).
cnf(c_0_1103,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_795]) ).
cnf(c_0_1104,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_796]) ).
cnf(c_0_1105,plain,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_797]) ).
cnf(c_0_1106,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_798]) ).
cnf(c_0_1107,plain,
( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_1108,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_800]) ).
cnf(c_0_1109,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_801]) ).
cnf(c_0_1110,plain,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_802]) ).
cnf(c_0_1111,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_803]) ).
cnf(c_0_1112,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_804]) ).
cnf(c_0_1113,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_805]) ).
cnf(c_0_1114,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_806]) ).
cnf(c_0_1115,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_807]) ).
cnf(c_0_1116,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_808]) ).
cnf(c_0_1117,plain,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
| ~ class_Ring__and__Field_Osemiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_809]) ).
cnf(c_0_1118,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_810]) ).
cnf(c_0_1119,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_811]) ).
cnf(c_0_1120,plain,
( hAPP(c_List_Onth(X1,X2),X3) = X4
| c_List_Odrop(X3,X1,X2) != c_List_Olist_OCons(X4,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_812]) ).
cnf(c_0_1121,plain,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_813]) ).
cnf(c_0_1122,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_814]) ).
cnf(c_0_1123,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Otl(c_List_Oappend(X1,X3,X2),X2) = c_List_Oappend(c_List_Otl(X1,X2),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_815]) ).
cnf(c_0_1124,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) = c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_816]) ).
cnf(c_0_1125,plain,
( c_List_Orotate(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_817]) ).
cnf(c_0_1126,plain,
( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_818]) ).
cnf(c_0_1127,plain,
( c_List_Otake(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_819]) ).
cnf(c_0_1128,plain,
( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_820]) ).
cnf(c_0_1129,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_Int_Onumber__ring(X4)
| ~ class_Ring__and__Field_Oidom(X4) ),
inference(split_conjunct,[status(thm)],[c_0_821]) ).
cnf(c_0_1130,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_822]) ).
cnf(c_0_1131,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_823]) ).
cnf(c_0_1132,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_824]) ).
cnf(c_0_1133,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_825]) ).
cnf(c_0_1134,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_826]) ).
cnf(c_0_1135,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_827]) ).
cnf(c_0_1136,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_828]) ).
cnf(c_0_1137,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_829]) ).
cnf(c_0_1138,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_830]) ).
cnf(c_0_1139,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_831]) ).
cnf(c_0_1140,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_832]) ).
cnf(c_0_1141,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = X3
| c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_833]) ).
cnf(c_0_1142,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_834]) ).
cnf(c_0_1143,plain,
( X1 = X2
| c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_835]) ).
cnf(c_0_1144,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_836]) ).
cnf(c_0_1145,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_837]) ).
cnf(c_0_1146,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_838]) ).
cnf(c_0_1147,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_839]) ).
cnf(c_0_1148,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_840]) ).
cnf(c_0_1149,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_841]) ).
cnf(c_0_1150,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_842]) ).
cnf(c_0_1151,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_843]) ).
cnf(c_0_1152,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_844]) ).
cnf(c_0_1153,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_845]) ).
cnf(c_0_1154,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_846]) ).
cnf(c_0_1155,plain,
( c_List_Orotate1(X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_847]) ).
cnf(c_0_1156,plain,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_848]) ).
cnf(c_0_1157,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_849]) ).
cnf(c_0_1158,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(split_conjunct,[status(thm)],[c_0_850]) ).
cnf(c_0_1159,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(split_conjunct,[status(thm)],[c_0_851]) ).
cnf(c_0_1160,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_852]) ).
cnf(c_0_1161,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_853]) ).
cnf(c_0_1162,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_854]) ).
cnf(c_0_1163,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_855]) ).
cnf(c_0_1164,plain,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_856]) ).
cnf(c_0_1165,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Ring__and__Field_Oidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_857]) ).
cnf(c_0_1166,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 != c_HOL_Oplus__class_Oplus(X3,X1,X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_858]) ).
cnf(c_0_1167,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_859]) ).
cnf(c_0_1168,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_860]) ).
cnf(c_0_1169,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
inference(split_conjunct,[status(thm)],[c_0_861]) ).
cnf(c_0_1170,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_862]) ).
cnf(c_0_1171,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_863]) ).
cnf(c_0_1172,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_List_Olist_ONil(X3)
| c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(split_conjunct,[status(thm)],[c_0_864]) ).
cnf(c_0_1173,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_865]) ).
cnf(c_0_1174,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_866]) ).
cnf(c_0_1175,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_867]) ).
cnf(c_0_1176,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_868]) ).
cnf(c_0_1177,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_869]) ).
cnf(c_0_1178,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(split_conjunct,[status(thm)],[c_0_870]) ).
cnf(c_0_1179,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(split_conjunct,[status(thm)],[c_0_871]) ).
cnf(c_0_1180,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_ONil(X2) != c_List_Oreplicate(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_872]) ).
cnf(c_0_1181,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_873]) ).
cnf(c_0_1182,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_1183,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_875]) ).
cnf(c_0_1184,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_876]) ).
cnf(c_0_1185,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_877]) ).
cnf(c_0_1186,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_878]) ).
cnf(c_0_1187,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_879]) ).
cnf(c_0_1188,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_880]) ).
cnf(c_0_1189,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_881]) ).
cnf(c_0_1190,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_882]) ).
cnf(c_0_1191,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_883]) ).
cnf(c_0_1192,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Osemiring__0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_884]) ).
cnf(c_0_1193,plain,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Power_Opower(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_885]) ).
cnf(c_0_1194,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_886]) ).
cnf(c_0_1195,plain,
( X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_887]) ).
cnf(c_0_1196,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_888]) ).
cnf(c_0_1197,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_889]) ).
cnf(c_0_1198,plain,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(split_conjunct,[status(thm)],[c_0_890]) ).
cnf(c_0_1199,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_891]) ).
cnf(c_0_1200,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_892]) ).
cnf(c_0_1201,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_893]) ).
cnf(c_0_1202,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_894]) ).
cnf(c_0_1203,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Omonoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_895]) ).
cnf(c_0_1204,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_896]) ).
cnf(c_0_1205,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_1206,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_898]) ).
cnf(c_0_1207,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Power_Opower(X2) ),
inference(split_conjunct,[status(thm)],[c_0_899]) ).
cnf(c_0_1208,plain,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_900]) ).
cnf(c_0_1209,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_901]) ).
cnf(c_0_1210,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1
| ~ class_OrderedGroup_Omonoid__mult(X2) ),
inference(split_conjunct,[status(thm)],[c_0_902]) ).
cnf(c_0_1211,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_903]) ).
cnf(c_0_1212,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_904]) ).
cnf(c_0_1213,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_905]) ).
cnf(c_0_1214,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_906]) ).
cnf(c_0_1215,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_907]) ).
cnf(c_0_1216,plain,
( X1 = X2
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_908]) ).
cnf(c_0_1217,plain,
( c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_909]) ).
cnf(c_0_1218,plain,
( X1 = X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
| ~ class_Nat_Osemiring__char__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_910]) ).
cnf(c_0_1219,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_911]) ).
cnf(c_0_1220,plain,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_912]) ).
cnf(c_0_1221,plain,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_913]) ).
cnf(c_0_1222,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_914]) ).
cnf(c_0_1223,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_915]) ).
cnf(c_0_1224,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_916]) ).
cnf(c_0_1225,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_917]) ).
cnf(c_0_1226,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Orev(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_918]) ).
cnf(c_0_1227,plain,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_919]) ).
cnf(c_0_1228,plain,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_920]) ).
cnf(c_0_1229,plain,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_921]) ).
cnf(c_0_1230,plain,
( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
inference(split_conjunct,[status(thm)],[c_0_922]) ).
cnf(c_0_1231,plain,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
inference(split_conjunct,[status(thm)],[c_0_923]) ).
cnf(c_0_1232,plain,
( X9 = X4
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
c_0_924,
[final] ).
cnf(c_0_1233,plain,
( X10 = X5
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
c_0_925,
[final] ).
cnf(c_0_1234,plain,
( X11 = X6
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
c_0_926,
[final] ).
cnf(c_0_1235,plain,
( X12 = X7
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
c_0_927,
[final] ).
cnf(c_0_1236,plain,
( c_TypeRel_OMethod(X1,X7,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8) ),
c_0_928,
[final] ).
cnf(c_0_1237,plain,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
c_0_929,
[final] ).
cnf(c_0_1238,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
c_0_930,
[final] ).
cnf(c_0_1239,plain,
( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty) ),
c_0_931,
[final] ).
cnf(c_0_1240,plain,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3)),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
c_0_932,
[final] ).
cnf(c_0_1241,plain,
( c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),tc_Value_Oval) = X4
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
c_0_933,
[final] ).
cnf(c_0_1242,plain,
( c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X6) = X2
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
c_0_934,
[final] ).
cnf(c_0_1243,plain,
( c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X6) = X5
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
c_0_935,
[final] ).
cnf(c_0_1244,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
c_0_936,
[final] ).
cnf(c_0_1245,plain,
( c_List_Olist__all2(X1,X3,c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X4,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
c_0_937,
[final] ).
cnf(c_0_1246,plain,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),X4,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
c_0_938,
[final] ).
cnf(c_0_1247,plain,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X4,X6,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
c_0_939,
[final] ).
cnf(c_0_1248,plain,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),X3,X6,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
c_0_940,
[final] ).
cnf(c_0_1249,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
c_0_941,
[final] ).
cnf(c_0_1250,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
c_0_942,
[final] ).
cnf(c_0_1251,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X4,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
c_0_943,
[final] ).
cnf(c_0_1252,plain,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
c_0_944,
[final] ).
cnf(c_0_1253,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
c_0_945,
[final] ).
cnf(c_0_1254,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
c_0_946,
[final] ).
cnf(c_0_1255,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
c_0_947,
[final] ).
cnf(c_0_1256,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
c_0_948,
[final] ).
cnf(c_0_1257,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
c_0_949,
[final] ).
cnf(c_0_1258,plain,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
c_0_950,
[final] ).
cnf(c_0_1259,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
c_0_951,
[final] ).
cnf(c_0_1260,plain,
( c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty) = X5
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
c_0_952,
[final] ).
cnf(c_0_1261,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
c_0_953,
[final] ).
cnf(c_0_1262,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
c_0_954,
[final] ).
cnf(c_0_1263,plain,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X6) ),
c_0_955,
[final] ).
cnf(c_0_1264,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X6) ),
c_0_956,
[final] ).
cnf(c_0_1265,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
c_0_957,
[final] ).
cnf(c_0_1266,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
c_0_958,
[final] ).
cnf(c_0_1267,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
c_0_959,
[final] ).
cnf(c_0_1268,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
c_0_960,
[final] ).
cnf(c_0_1269,plain,
( c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X7) ),
c_0_961,
[final] ).
cnf(c_0_1270,plain,
( c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X7) ),
c_0_962,
[final] ).
cnf(c_0_1271,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
c_0_963,
[final] ).
cnf(c_0_1272,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
c_0_964,
[final] ).
cnf(c_0_1273,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X6,tc_Value_Oval),c_List_Olist_OCons(X5,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X6,X7,tc_Value_Oval,tc_Type_Oty) ),
c_0_965,
[final] ).
cnf(c_0_1274,plain,
( v_thesis____
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
c_0_966,
[final] ).
cnf(c_0_1275,plain,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
c_0_967,
[final] ).
cnf(c_0_1276,plain,
( c_List_Olist__all2(X1,X2,X5,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
c_0_968,
[final] ).
cnf(c_0_1277,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
c_0_969,
[final] ).
cnf(c_0_1278,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_970,
[final] ).
cnf(c_0_1279,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_971,
[final] ).
cnf(c_0_1280,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_972,
[final] ).
cnf(c_0_1281,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
c_0_973,
[final] ).
cnf(c_0_1282,plain,
( c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X2,X6) ),
c_0_974,
[final] ).
cnf(c_0_1283,plain,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_975,
[final] ).
cnf(c_0_1284,plain,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_976,
[final] ).
cnf(c_0_1285,plain,
( c_List_Olist__all2(X1,X2,X4,X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5) ),
c_0_977,
[final] ).
cnf(c_0_1286,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4) ),
c_0_978,
[final] ).
cnf(c_0_1287,plain,
( c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5) ),
c_0_979,
[final] ).
cnf(c_0_1288,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_980,
[final] ).
cnf(c_0_1289,plain,
( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
c_0_981,
[final] ).
cnf(c_0_1290,plain,
( c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
c_0_982,
[final] ).
cnf(c_0_1291,plain,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
c_0_983,
[final] ).
cnf(c_0_1292,plain,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
c_0_984,
[final] ).
cnf(c_0_1293,plain,
( c_Progress_OWTrts_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5) ),
c_0_985,
[final] ).
cnf(c_0_1294,plain,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X4,X5) ),
c_0_986,
[final] ).
cnf(c_0_1295,plain,
( X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
c_0_987,
[final] ).
cnf(c_0_1296,plain,
( c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
c_0_988,
[final] ).
cnf(c_0_1297,plain,
( X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
c_0_989,
[final] ).
cnf(c_0_1298,plain,
( c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
c_0_990,
[final] ).
cnf(c_0_1299,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
| c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
c_0_991,
[final] ).
cnf(c_0_1300,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
c_0_992,
[final] ).
cnf(c_0_1301,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
c_0_993,
[final] ).
cnf(c_0_1302,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
c_0_994,
[final] ).
cnf(c_0_1303,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
c_0_995,
[final] ).
cnf(c_0_1304,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
c_0_996,
[final] ).
cnf(c_0_1305,plain,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_997,
[final] ).
cnf(c_0_1306,plain,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
c_0_998,
[final] ).
cnf(c_0_1307,plain,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
c_0_999,
[final] ).
cnf(c_0_1308,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
c_0_1000,
[final] ).
cnf(c_0_1309,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
c_0_1001,
[final] ).
cnf(c_0_1310,plain,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
c_0_1002,
[final] ).
cnf(c_0_1311,plain,
( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
| ~ c_WellType_OWT(X1,X2,X3,X4) ),
c_0_1003,
[final] ).
cnf(c_0_1312,plain,
( c_WellTypeRT_OWTrts(X1,X5,X2,X3,X4)
| ~ c_WellType_OWTs(X1,X2,X3,X4) ),
c_0_1004,
[final] ).
cnf(c_0_1313,plain,
( c_List_Olist__all2(X1,X3,X3,X2,X2)
| ~ hBOOL(hAPP(hAPP(X1,c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2)),c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2))) ),
c_0_1005,
[final] ).
cnf(c_0_1314,plain,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
c_0_1006,
[final] ).
cnf(c_0_1315,plain,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
| ~ c_Objects_Ohext(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
c_0_1007,
[final] ).
cnf(c_0_1316,plain,
( c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X4,X6,tc_Type_Oty))
| ~ c_WellType_OWT(X1,X2,X3,X4)
| ~ c_WellType_OWTs(X1,X2,X5,X6) ),
c_0_1008,
[final] ).
cnf(c_0_1317,plain,
( X1 = X2
| hAPP(c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X5),X2) = hAPP(c_List_Onth(X3,X5),X2) ),
c_0_1009,
[final] ).
cnf(c_0_1318,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat))) ),
c_0_1010,
[final] ).
cnf(c_0_1319,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat))) ),
c_0_1011,
[final] ).
cnf(c_0_1320,plain,
( c_List_Oappend(c_List_Otake(X1,X3,X4),c_List_Otake(X2,c_List_Odrop(X1,X3,X4),X4),X4) = c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
c_0_1012,
[final] ).
cnf(c_0_1321,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
c_0_1013,
[final] ).
cnf(c_0_1322,plain,
( X1 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_List_Olist__update(c_List_Obutlast(X2,X3),X1,X4,X3) = c_List_Obutlast(c_List_Olist__update(X2,X1,X4,X3),X3) ),
c_0_1014,
[final] ).
cnf(c_0_1323,plain,
( c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
c_0_1015,
[final] ).
cnf(c_0_1324,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
c_0_1016,
[final] ).
cnf(c_0_1325,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
c_0_1017,
[final] ).
cnf(c_0_1326,plain,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
c_0_1018,
[final] ).
cnf(c_0_1327,plain,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
c_0_1019,
[final] ).
cnf(c_0_1328,plain,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
c_0_1020,
[final] ).
cnf(c_0_1329,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
c_0_1021,
[final] ).
cnf(c_0_1330,plain,
( hAPP(c_List_Onth(c_List_Odrop(X1,X3,X4),X4),X2) = hAPP(c_List_Onth(X3,X4),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
c_0_1022,
[final] ).
cnf(c_0_1331,plain,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1023,
[final] ).
cnf(c_0_1332,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
c_0_1024,
[final] ).
cnf(c_0_1333,plain,
( X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1025,
[final] ).
cnf(c_0_1334,plain,
( c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
c_0_1026,
[final] ).
cnf(c_0_1335,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1027,
[final] ).
cnf(c_0_1336,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1028,
[final] ).
cnf(c_0_1337,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) = c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1029,
[final] ).
cnf(c_0_1338,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
c_0_1030,
[final] ).
cnf(c_0_1339,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1031,
[final] ).
cnf(c_0_1340,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
c_0_1032,
[final] ).
cnf(c_0_1341,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
c_0_1033,
[final] ).
cnf(c_0_1342,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
c_0_1034,
[final] ).
cnf(c_0_1343,plain,
( c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
c_0_1035,
[final] ).
cnf(c_0_1344,plain,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
c_0_1036,
[final] ).
cnf(c_0_1345,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_1037,
[final] ).
cnf(c_0_1346,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_1038,
[final] ).
cnf(c_0_1347,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
c_0_1039,
[final] ).
cnf(c_0_1348,plain,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1040,
[final] ).
cnf(c_0_1349,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ),
c_0_1041,
[final] ).
cnf(c_0_1350,plain,
( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
c_0_1042,
[final] ).
cnf(c_0_1351,plain,
( c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
c_0_1043,
[final] ).
cnf(c_0_1352,plain,
( c_lessequals(X3,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1044,
[final] ).
cnf(c_0_1353,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
c_0_1045,
[final] ).
cnf(c_0_1354,plain,
( c_List_Obutlast(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
c_0_1046,
[final] ).
cnf(c_0_1355,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X4,tc_nat) ),
c_0_1047,
[final] ).
cnf(c_0_1356,plain,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4) ),
c_0_1048,
[final] ).
cnf(c_0_1357,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),X1) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
c_0_1049,
[final] ).
cnf(c_0_1358,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
c_0_1050,
[final] ).
cnf(c_0_1359,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) ),
c_0_1051,
[final] ).
cnf(c_0_1360,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
c_0_1052,
[final] ).
cnf(c_0_1361,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_1053,
[final] ).
cnf(c_0_1362,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
c_0_1054,
[final] ).
cnf(c_0_1363,plain,
( c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1055,
[final] ).
cnf(c_0_1364,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1056,
[final] ).
cnf(c_0_1365,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1057,
[final] ).
cnf(c_0_1366,plain,
( c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1058,
[final] ).
cnf(c_0_1367,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1059,
[final] ).
cnf(c_0_1368,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1060,
[final] ).
cnf(c_0_1369,plain,
( c_List_Olist__update(X1,X3,X4,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
c_0_1061,
[final] ).
cnf(c_0_1370,plain,
( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
c_0_1062,
[final] ).
cnf(c_0_1371,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Nat_Onat_Onat__case(X2,X3,X1,X4) = hAPP(X3,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
c_0_1063,
[final] ).
cnf(c_0_1372,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_1064,
[final] ).
cnf(c_0_1373,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_1065,
[final] ).
cnf(c_0_1374,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_1066,
[final] ).
cnf(c_0_1375,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_1067,
[final] ).
cnf(c_0_1376,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
c_0_1068,
[final] ).
cnf(c_0_1377,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
c_0_1069,
[final] ).
cnf(c_0_1378,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_1070,
[final] ).
cnf(c_0_1379,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_1071,
[final] ).
cnf(c_0_1380,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1072,
[final] ).
cnf(c_0_1381,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1073,
[final] ).
cnf(c_0_1382,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1074,
[final] ).
cnf(c_0_1383,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1075,
[final] ).
cnf(c_0_1384,plain,
( X1 = X2
| ~ c_lessequals(X3,X1,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
c_0_1076,
[final] ).
cnf(c_0_1385,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_1077,
[final] ).
cnf(c_0_1386,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_1078,
[final] ).
cnf(c_0_1387,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
c_0_1079,
[final] ).
cnf(c_0_1388,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
c_0_1080,
[final] ).
cnf(c_0_1389,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
c_0_1081,
[final] ).
cnf(c_0_1390,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
c_0_1082,
[final] ).
cnf(c_0_1391,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
c_0_1083,
[final] ).
cnf(c_0_1392,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
c_0_1084,
[final] ).
cnf(c_0_1393,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
c_0_1085,
[final] ).
cnf(c_0_1394,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
c_0_1086,
[final] ).
cnf(c_0_1395,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
c_0_1087,
[final] ).
cnf(c_0_1396,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4) ),
c_0_1088,
[final] ).
cnf(c_0_1397,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1089,
[final] ).
cnf(c_0_1398,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1090,
[final] ).
cnf(c_0_1399,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1091,
[final] ).
cnf(c_0_1400,plain,
( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X3),c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oring__1(X3) ),
c_0_1092,
[final] ).
cnf(c_0_1401,plain,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
c_0_1093,
[final] ).
cnf(c_0_1402,plain,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat)) = X1
| c_Int_Onumber__class_Onumber__of(X4,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1094,
[final] ).
cnf(c_0_1403,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) ),
c_0_1095,
[final] ).
cnf(c_0_1404,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) ),
c_0_1096,
[final] ).
cnf(c_0_1405,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_1097,
[final] ).
cnf(c_0_1406,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_1098,
[final] ).
cnf(c_0_1407,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_1099,
[final] ).
cnf(c_0_1408,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
c_0_1100,
[final] ).
cnf(c_0_1409,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_1101,
[final] ).
cnf(c_0_1410,plain,
( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_1102,
[final] ).
cnf(c_0_1411,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_1103,
[final] ).
cnf(c_0_1412,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_1104,
[final] ).
cnf(c_0_1413,plain,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1105,
[final] ).
cnf(c_0_1414,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1106,
[final] ).
cnf(c_0_1415,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,X1,tc_nat) ),
c_0_1107,
[final] ).
cnf(c_0_1416,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1108,
[final] ).
cnf(c_0_1417,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1109,
[final] ).
cnf(c_0_1418,plain,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1110,
[final] ).
cnf(c_0_1419,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1111,
[final] ).
cnf(c_0_1420,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1112,
[final] ).
cnf(c_0_1421,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1113,
[final] ).
cnf(c_0_1422,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1114,
[final] ).
cnf(c_0_1423,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1115,
[final] ).
cnf(c_0_1424,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1116,
[final] ).
cnf(c_0_1425,plain,
( c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3)
| ~ class_Ring__and__Field_Osemiring__1(X3) ),
c_0_1117,
[final] ).
cnf(c_0_1426,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
c_0_1118,
[final] ).
cnf(c_0_1427,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
c_0_1119,
[final] ).
cnf(c_0_1428,plain,
( hAPP(c_List_Onth(X1,X2),X3) = X4
| c_List_Odrop(X3,X1,X2) != c_List_Olist_OCons(X4,X5,X2) ),
c_0_1120,
[final] ).
cnf(c_0_1429,plain,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1121,
[final] ).
cnf(c_0_1430,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
c_0_1122,
[final] ).
cnf(c_0_1431,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2) ),
c_0_1123,
[final] ).
cnf(c_0_1432,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
c_0_1124,
[final] ).
cnf(c_0_1433,plain,
( c_List_Orotate(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
c_0_1125,
[final] ).
cnf(c_0_1434,plain,
( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
c_0_1126,
[final] ).
cnf(c_0_1435,plain,
( c_List_Otake(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
c_0_1127,
[final] ).
cnf(c_0_1436,plain,
( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
c_0_1128,
[final] ).
cnf(c_0_1437,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_Int_Onumber__ring(X4)
| ~ class_Ring__and__Field_Oidom(X4) ),
c_0_1129,
[final] ).
cnf(c_0_1438,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1130,
[final] ).
cnf(c_0_1439,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1131,
[final] ).
cnf(c_0_1440,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1132,
[final] ).
cnf(c_0_1441,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1133,
[final] ).
cnf(c_0_1442,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
c_0_1134,
[final] ).
cnf(c_0_1443,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
c_0_1135,
[final] ).
cnf(c_0_1444,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
c_0_1136,
[final] ).
cnf(c_0_1445,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_1137,
[final] ).
cnf(c_0_1446,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
c_0_1138,
[final] ).
cnf(c_0_1447,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
c_0_1139,
[final] ).
cnf(c_0_1448,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
c_0_1140,
[final] ).
cnf(c_0_1449,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = X3
| c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
c_0_1141,
[final] ).
cnf(c_0_1450,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1142,
[final] ).
cnf(c_0_1451,plain,
( X1 = X2
| c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
c_0_1143,
[final] ).
cnf(c_0_1452,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
c_0_1144,
[final] ).
cnf(c_0_1453,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
c_0_1145,
[final] ).
cnf(c_0_1454,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1146,
[final] ).
cnf(c_0_1455,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_1147,
[final] ).
cnf(c_0_1456,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
c_0_1148,
[final] ).
cnf(c_0_1457,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
c_0_1149,
[final] ).
cnf(c_0_1458,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_1150,
[final] ).
cnf(c_0_1459,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_1151,
[final] ).
cnf(c_0_1460,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
c_0_1152,
[final] ).
cnf(c_0_1461,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ),
c_0_1153,
[final] ).
cnf(c_0_1462,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
c_0_1154,
[final] ).
cnf(c_0_1463,plain,
( c_List_Orotate1(X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
c_0_1155,
[final] ).
cnf(c_0_1464,plain,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1156,
[final] ).
cnf(c_0_1465,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1157,
[final] ).
cnf(c_0_1466,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
c_0_1158,
[final] ).
cnf(c_0_1467,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
c_0_1159,
[final] ).
cnf(c_0_1468,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1160,
[final] ).
cnf(c_0_1469,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
c_0_1161,
[final] ).
cnf(c_0_1470,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
c_0_1162,
[final] ).
cnf(c_0_1471,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
c_0_1163,
[final] ).
cnf(c_0_1472,plain,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_1164,
[final] ).
cnf(c_0_1473,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Ring__and__Field_Oidom(X3) ),
c_0_1165,
[final] ).
cnf(c_0_1474,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
c_0_1166,
[final] ).
cnf(c_0_1475,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
c_0_1167,
[final] ).
cnf(c_0_1476,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_1168,
[final] ).
cnf(c_0_1477,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
c_0_1169,
[final] ).
cnf(c_0_1478,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_1170,
[final] ).
cnf(c_0_1479,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_1171,
[final] ).
cnf(c_0_1480,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_List_Olist_ONil(X3)
| c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
c_0_1172,
[final] ).
cnf(c_0_1481,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1173,
[final] ).
cnf(c_0_1482,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1174,
[final] ).
cnf(c_0_1483,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1175,
[final] ).
cnf(c_0_1484,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1176,
[final] ).
cnf(c_0_1485,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1177,
[final] ).
cnf(c_0_1486,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
c_0_1178,
[final] ).
cnf(c_0_1487,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
c_0_1179,
[final] ).
cnf(c_0_1488,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1180,
[final] ).
cnf(c_0_1489,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_1181,
[final] ).
cnf(c_0_1490,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_1182,
[final] ).
cnf(c_0_1491,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_1183,
[final] ).
cnf(c_0_1492,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_1184,
[final] ).
cnf(c_0_1493,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_1185,
[final] ).
cnf(c_0_1494,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_1186,
[final] ).
cnf(c_0_1495,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
c_0_1187,
[final] ).
cnf(c_0_1496,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1188,
[final] ).
cnf(c_0_1497,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1189,
[final] ).
cnf(c_0_1498,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
c_0_1190,
[final] ).
cnf(c_0_1499,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
c_0_1191,
[final] ).
cnf(c_0_1500,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Osemiring__0(X2) ),
c_0_1192,
[final] ).
cnf(c_0_1501,plain,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Power_Opower(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
c_0_1193,
[final] ).
cnf(c_0_1502,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_1194,
[final] ).
cnf(c_0_1503,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
c_0_1195,
[final] ).
cnf(c_0_1504,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_1196,
[final] ).
cnf(c_0_1505,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
c_0_1197,
[final] ).
cnf(c_0_1506,plain,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
c_0_1198,
[final] ).
cnf(c_0_1507,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_1199,
[final] ).
cnf(c_0_1508,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_1200,
[final] ).
cnf(c_0_1509,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
c_0_1201,
[final] ).
cnf(c_0_1510,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
c_0_1202,
[final] ).
cnf(c_0_1511,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Omonoid__add(X2) ),
c_0_1203,
[final] ).
cnf(c_0_1512,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
c_0_1204,
[final] ).
cnf(c_0_1513,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_1205,
[final] ).
cnf(c_0_1514,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
c_0_1206,
[final] ).
cnf(c_0_1515,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Power_Opower(X2) ),
c_0_1207,
[final] ).
cnf(c_0_1516,plain,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1208,
[final] ).
cnf(c_0_1517,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
c_0_1209,
[final] ).
cnf(c_0_1518,plain,
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1
| ~ class_OrderedGroup_Omonoid__mult(X2) ),
c_0_1210,
[final] ).
cnf(c_0_1519,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1211,
[final] ).
cnf(c_0_1520,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1212,
[final] ).
cnf(c_0_1521,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Oab__group__add(X2) ),
c_0_1213,
[final] ).
cnf(c_0_1522,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_1214,
[final] ).
cnf(c_0_1523,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1215,
[final] ).
cnf(c_0_1524,plain,
( X1 = X2
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
c_0_1216,
[final] ).
cnf(c_0_1525,plain,
( c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X2,X3) ),
c_0_1217,
[final] ).
cnf(c_0_1526,plain,
( X1 = X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
| ~ class_Nat_Osemiring__char__0(X3) ),
c_0_1218,
[final] ).
cnf(c_0_1527,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
c_0_1219,
[final] ).
cnf(c_0_1528,plain,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
c_0_1220,
[final] ).
cnf(c_0_1529,plain,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
c_0_1221,
[final] ).
cnf(c_0_1530,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
c_0_1222,
[final] ).
cnf(c_0_1531,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
c_0_1223,
[final] ).
cnf(c_0_1532,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1224,
[final] ).
cnf(c_0_1533,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1225,
[final] ).
cnf(c_0_1534,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1226,
[final] ).
cnf(c_0_1535,plain,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_1227,
[final] ).
cnf(c_0_1536,plain,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
c_0_1228,
[final] ).
cnf(c_0_1537,plain,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
c_0_1229,
[final] ).
cnf(c_0_1538,plain,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
c_0_1230,
[final] ).
cnf(c_0_1539,plain,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
c_0_1231,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1232_0,axiom,
( X9 = X4
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1232]) ).
cnf(c_0_1232_1,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X9 = X4
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1232]) ).
cnf(c_0_1232_2,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X9 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1232]) ).
cnf(c_0_1233_0,axiom,
( X10 = X5
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1233]) ).
cnf(c_0_1233_1,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X10 = X5
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1233]) ).
cnf(c_0_1233_2,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X10 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_1233]) ).
cnf(c_0_1234_0,axiom,
( X11 = X6
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1234]) ).
cnf(c_0_1234_1,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X11 = X6
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1234]) ).
cnf(c_0_1234_2,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X11 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_1234]) ).
cnf(c_0_1235_0,axiom,
( X12 = X7
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1235]) ).
cnf(c_0_1235_1,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X12 = X7
| ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1235]) ).
cnf(c_0_1235_2,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X9,X10,X11,X12,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| X12 = X7 ),
inference(literals_permutation,[status(thm)],[c_0_1235]) ).
cnf(c_0_1236_0,axiom,
( c_TypeRel_OMethod(X1,X7,X3,X4,X5,X6,X7,X8)
| ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1236]) ).
cnf(c_0_1236_1,axiom,
( ~ c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X7,X8)
| c_TypeRel_OMethod(X1,X7,X3,X4,X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_1236]) ).
cnf(c_0_1237_0,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1237]) ).
cnf(c_0_1237_1,axiom,
( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1237]) ).
cnf(c_0_1237_2,axiom,
( ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1237]) ).
cnf(c_0_1237_3,axiom,
( ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1237]) ).
cnf(c_0_1237_4,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X12,X13)
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8) ),
inference(literals_permutation,[status(thm)],[c_0_1237]) ).
cnf(c_0_1238_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1238]) ).
cnf(c_0_1238_1,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1238]) ).
cnf(c_0_1238_2,axiom,
( ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1238]) ).
cnf(c_0_1238_3,axiom,
( ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1238]) ).
cnf(c_0_1238_4,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X13,X7,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X12,X13)
| ~ c_TypeRel_OMethod(X1,X5,X6,X7,X8,c_Pair(X9,X10,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X11,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X5))
| c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X6,X12,tc_List_Olist(tc_String_Ochar)),X8) ),
inference(literals_permutation,[status(thm)],[c_0_1238]) ).
cnf(c_0_1239_0,axiom,
( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1239]) ).
cnf(c_0_1239_1,axiom,
( ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1239]) ).
cnf(c_0_1239_2,axiom,
( ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1239]) ).
cnf(c_0_1239_3,axiom,
( ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1239]) ).
cnf(c_0_1239_4,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X12,X6,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(X1,X2,X11,X12)
| ~ c_TypeRel_OMethod(X1,X4,X5,X6,X7,c_Pair(X8,X9,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X10,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X4))
| c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X5,X11,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(literals_permutation,[status(thm)],[c_0_1239]) ).
cnf(c_0_1240_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3)),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1240]) ).
cnf(c_0_1240_1,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3)),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1240]) ).
cnf(c_0_1241_0,axiom,
( c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),tc_Value_Oval) = X4
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1241]) ).
cnf(c_0_1241_1,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),tc_Value_Oval) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1241]) ).
cnf(c_0_1242_0,axiom,
( c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X6) = X2
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1242]) ).
cnf(c_0_1242_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)
| c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X6) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1242]) ).
cnf(c_0_1243_0,axiom,
( c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X6) = X5
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1243]) ).
cnf(c_0_1243_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6)
| c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X6) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_1243]) ).
cnf(c_0_1244_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1244]) ).
cnf(c_0_1244_1,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),X6,tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1244]) ).
cnf(c_0_1245_0,axiom,
( c_List_Olist__all2(X1,X3,c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X4,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1245]) ).
cnf(c_0_1245_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6)
| c_List_Olist__all2(X1,X3,c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1245]) ).
cnf(c_0_1246_0,axiom,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),X4,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1246]) ).
cnf(c_0_1246_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6)
| c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1246]) ).
cnf(c_0_1247_0,axiom,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X4,X6,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1247]) ).
cnf(c_0_1247_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)
| c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),X4,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1247]) ).
cnf(c_0_1248_0,axiom,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),X3,X6,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1248]) ).
cnf(c_0_1248_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)
| c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1248]) ).
cnf(c_0_1249_0,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1249]) ).
cnf(c_0_1249_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)
| c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1249]) ).
cnf(c_0_1250_0,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1250]) ).
cnf(c_0_1250_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6)
| c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1250]) ).
cnf(c_0_1251_0,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X4,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1251]) ).
cnf(c_0_1251_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)
| c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X6,X5),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X4,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1251]) ).
cnf(c_0_1252_0,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1252]) ).
cnf(c_0_1252_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6)
| c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X5,X4,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1252]) ).
cnf(c_0_1253_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1253]) ).
cnf(c_0_1253_1,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1253]) ).
cnf(c_0_1253_2,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1253]) ).
cnf(c_0_1254_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1254]) ).
cnf(c_0_1254_1,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1254]) ).
cnf(c_0_1254_2,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1254]) ).
cnf(c_0_1255_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1255]) ).
cnf(c_0_1255_1,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1255]) ).
cnf(c_0_1255_2,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1255]) ).
cnf(c_0_1256_0,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1256]) ).
cnf(c_0_1256_1,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1256]) ).
cnf(c_0_1256_2,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____)) ),
inference(literals_permutation,[status(thm)],[c_0_1256]) ).
cnf(c_0_1257_0,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1257]) ).
cnf(c_0_1257_1,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1257]) ).
cnf(c_0_1257_2,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____)) ),
inference(literals_permutation,[status(thm)],[c_0_1257]) ).
cnf(c_0_1258_0,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1258]) ).
cnf(c_0_1258_1,axiom,
( ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1258]) ).
cnf(c_0_1258_2,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))
| c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____)) ),
inference(literals_permutation,[status(thm)],[c_0_1258]) ).
cnf(c_0_1259_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1259]) ).
cnf(c_0_1259_1,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1259]) ).
cnf(c_0_1260_0,axiom,
( c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty) = X5
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1260]) ).
cnf(c_0_1260_1,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty)
| c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_1260]) ).
cnf(c_0_1261_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1261]) ).
cnf(c_0_1261_1,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty)
| c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X3,X4,X5,X2),tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1261]) ).
cnf(c_0_1262_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1262]) ).
cnf(c_0_1262_1,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X5,X2,X4,X3),X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1262]) ).
cnf(c_0_1263_0,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1263]) ).
cnf(c_0_1263_1,axiom,
( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
| c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1263]) ).
cnf(c_0_1263_2,axiom,
( ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X6)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT)
| c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8) ),
inference(literals_permutation,[status(thm)],[c_0_1263]) ).
cnf(c_0_1264_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1264]) ).
cnf(c_0_1264_1,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1264]) ).
cnf(c_0_1264_2,axiom,
( ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X6)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X7,X5,tc_List_Olist(tc_String_Ochar)),X8) ),
inference(literals_permutation,[status(thm)],[c_0_1264]) ).
cnf(c_0_1265_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1265]) ).
cnf(c_0_1265_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1265]) ).
cnf(c_0_1265_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1265]) ).
cnf(c_0_1265_3,axiom,
( c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1265]) ).
cnf(c_0_1265_4,axiom,
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1265]) ).
cnf(c_0_1266_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1266]) ).
cnf(c_0_1266_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1266]) ).
cnf(c_0_1266_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1266]) ).
cnf(c_0_1266_3,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1266]) ).
cnf(c_0_1266_4,axiom,
( c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1266]) ).
cnf(c_0_1267_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1267]) ).
cnf(c_0_1267_1,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1267]) ).
cnf(c_0_1267_2,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X5,X6,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1267]) ).
cnf(c_0_1268_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1268]) ).
cnf(c_0_1268_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1268]) ).
cnf(c_0_1268_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1268]) ).
cnf(c_0_1268_3,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1268]) ).
cnf(c_0_1269_0,axiom,
( c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1269]) ).
cnf(c_0_1269_1,axiom,
( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1269]) ).
cnf(c_0_1269_2,axiom,
( ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X7)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty)) ),
inference(literals_permutation,[status(thm)],[c_0_1269]) ).
cnf(c_0_1270_0,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1270]) ).
cnf(c_0_1270_1,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1270]) ).
cnf(c_0_1270_2,axiom,
( ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X7)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X6,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X7,tc_Type_Oty)) ),
inference(literals_permutation,[status(thm)],[c_0_1270]) ).
cnf(c_0_1271_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1271]) ).
cnf(c_0_1271_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1271]) ).
cnf(c_0_1271_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1271]) ).
cnf(c_0_1272_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1272]) ).
cnf(c_0_1272_1,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1272]) ).
cnf(c_0_1272_2,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1272]) ).
cnf(c_0_1273_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X6,tc_Value_Oval),c_List_Olist_OCons(X5,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X6,X7,tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1273]) ).
cnf(c_0_1273_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X6,tc_Value_Oval),c_List_Olist_OCons(X5,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X6,X7,tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1273]) ).
cnf(c_0_1273_2,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X6,X7,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X6,tc_Value_Oval),c_List_Olist_OCons(X5,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1273]) ).
cnf(c_0_1274_0,axiom,
( v_thesis____
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1274]) ).
cnf(c_0_1274_1,axiom,
( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1274]) ).
cnf(c_0_1274_2,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| v_thesis____ ),
inference(literals_permutation,[status(thm)],[c_0_1274]) ).
cnf(c_0_1275_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1275]) ).
cnf(c_0_1275_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1275]) ).
cnf(c_0_1275_2,axiom,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X6,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X5,tc_Type_Oty),c_List_Olist_OCons(X4,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1275]) ).
cnf(c_0_1276_0,axiom,
( c_List_Olist__all2(X1,X2,X5,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1276]) ).
cnf(c_0_1276_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X2,X5,X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1276]) ).
cnf(c_0_1276_2,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X2,X5,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1276]) ).
cnf(c_0_1277_0,axiom,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1277]) ).
cnf(c_0_1277_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1277]) ).
cnf(c_0_1277_2,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1277]) ).
cnf(c_0_1278_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1278]) ).
cnf(c_0_1278_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1278]) ).
cnf(c_0_1278_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1278]) ).
cnf(c_0_1279_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1279]) ).
cnf(c_0_1279_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1279]) ).
cnf(c_0_1279_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1279]) ).
cnf(c_0_1280_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1280]) ).
cnf(c_0_1280_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1280]) ).
cnf(c_0_1280_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1280]) ).
cnf(c_0_1281_0,axiom,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1281]) ).
cnf(c_0_1281_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1281]) ).
cnf(c_0_1282_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1282]) ).
cnf(c_0_1282_1,axiom,
( ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1282]) ).
cnf(c_0_1282_2,axiom,
( ~ c_Objects_Ohext(X2,X6)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
inference(literals_permutation,[status(thm)],[c_0_1282]) ).
cnf(c_0_1283_0,axiom,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1283]) ).
cnf(c_0_1283_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1283]) ).
cnf(c_0_1284_0,axiom,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1284]) ).
cnf(c_0_1284_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1284]) ).
cnf(c_0_1285_0,axiom,
( c_List_Olist__all2(X1,X2,X4,X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1285]) ).
cnf(c_0_1285_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5)
| c_List_Olist__all2(X1,X2,X4,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1285]) ).
cnf(c_0_1286_0,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1286]) ).
cnf(c_0_1286_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4)
| c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1286]) ).
cnf(c_0_1287_0,axiom,
( c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1287]) ).
cnf(c_0_1287_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5)
| c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1287]) ).
cnf(c_0_1288_0,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1288]) ).
cnf(c_0_1288_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1288]) ).
cnf(c_0_1289_0,axiom,
( c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1289]) ).
cnf(c_0_1289_1,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1289]) ).
cnf(c_0_1289_2,axiom,
( ~ c_Objects_Ohext(X2,X6)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1289]) ).
cnf(c_0_1290_0,axiom,
( c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1290]) ).
cnf(c_0_1290_1,axiom,
( ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5)
| ~ c_Objects_Ohext(X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1290]) ).
cnf(c_0_1290_2,axiom,
( ~ c_Objects_Ohext(X2,X6)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1290]) ).
cnf(c_0_1291_0,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1291]) ).
cnf(c_0_1291_1,axiom,
( ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1291]) ).
cnf(c_0_1292_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1292]) ).
cnf(c_0_1292_1,axiom,
( ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1292]) ).
cnf(c_0_1293_0,axiom,
( c_Progress_OWTrts_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1293]) ).
cnf(c_0_1293_1,axiom,
( ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| c_Progress_OWTrts_H(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1293]) ).
cnf(c_0_1294_0,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1294]) ).
cnf(c_0_1294_1,axiom,
( ~ c_Progress_OWTrts_H(X1,X2,X3,X4,X5)
| c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1294]) ).
cnf(c_0_1295_0,axiom,
( X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1295]) ).
cnf(c_0_1295_1,axiom,
( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
| X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1295]) ).
cnf(c_0_1295_2,axiom,
( c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X1,X4) = X3
| X1 = c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1295]) ).
cnf(c_0_1296_0,axiom,
( c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1296]) ).
cnf(c_0_1296_1,axiom,
( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
| c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1296]) ).
cnf(c_0_1296_2,axiom,
( c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3)
| c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X3) = X5
| c_List_Olist_OCons(X1,X2,X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1296]) ).
cnf(c_0_1297_0,axiom,
( X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1297]) ).
cnf(c_0_1297_1,axiom,
( c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
| X1 = c_List_Olist_OCons(X2,X3,X4)
| c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1297]) ).
cnf(c_0_1297_2,axiom,
( c_List_Oappend(X5,X1,X4) != c_List_Olist_OCons(X2,X3,X4)
| c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X5,X1,X4),X4) = X5
| X1 = c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1297]) ).
cnf(c_0_1298_0,axiom,
( c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1298]) ).
cnf(c_0_1298_1,axiom,
( c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
| c_List_Olist_OCons(X1,X2,X3) = X4
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1298]) ).
cnf(c_0_1298_2,axiom,
( c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X5,X4,X3)
| c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X5,X4,X3),X4,X3) = X2
| c_List_Olist_OCons(X1,X2,X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1298]) ).
cnf(c_0_1299_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
| c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1299]) ).
cnf(c_0_1299_1,axiom,
( c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
| X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1299]) ).
cnf(c_0_1299_2,axiom,
( c_List_Olist_OCons(X4,X3,X2) != c_List_Oappend(X1,X5,X2)
| c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X4,X3,X1,X5,X2),X5,X2) = X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1299]) ).
cnf(c_0_1300_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1300]) ).
cnf(c_0_1300_1,axiom,
( c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1300]) ).
cnf(c_0_1300_2,axiom,
( c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1300]) ).
cnf(c_0_1301_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1301]) ).
cnf(c_0_1301_1,axiom,
( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
| X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1301]) ).
cnf(c_0_1301_2,axiom,
( c_List_Oappend(X1,X5,X2) != c_List_Olist_OCons(X3,X4,X2)
| c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X1,X5,X2),X5,X2) = X4
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1301]) ).
cnf(c_0_1302_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1302]) ).
cnf(c_0_1302_1,axiom,
( c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1302]) ).
cnf(c_0_1302_2,axiom,
( c_List_Olist_OCons(X3,X4,X2) != c_List_Oappend(X1,X5,X2)
| c_List_Olist_OCons(X3,c_List_Osko__List__XCons__eq__append__conv__1__1(X3,X4,X1,X5,X2),X2) = X1
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1302]) ).
cnf(c_0_1303_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1303]) ).
cnf(c_0_1303_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
| hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1303]) ).
cnf(c_0_1304_0,axiom,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1304]) ).
cnf(c_0_1304_1,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1304]) ).
cnf(c_0_1304_2,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1304]) ).
cnf(c_0_1304_3,axiom,
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1304]) ).
cnf(c_0_1305_0,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1305]) ).
cnf(c_0_1305_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1305]) ).
cnf(c_0_1306_0,axiom,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1306]) ).
cnf(c_0_1306_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3)
| X2 = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1306]) ).
cnf(c_0_1307_0,axiom,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1307]) ).
cnf(c_0_1307_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4)
| X3 = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1307]) ).
cnf(c_0_1308_0,axiom,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1308]) ).
cnf(c_0_1308_1,axiom,
( ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1308]) ).
cnf(c_0_1309_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1309]) ).
cnf(c_0_1309_1,axiom,
( ~ hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1309]) ).
cnf(c_0_1310_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1310]) ).
cnf(c_0_1310_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1310]) ).
cnf(c_0_1310_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1310]) ).
cnf(c_0_1311_0,axiom,
( c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4)
| ~ c_WellType_OWT(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1311]) ).
cnf(c_0_1311_1,axiom,
( ~ c_WellType_OWT(X1,X2,X3,X4)
| c_WellTypeRT_OWTrt(X1,X5,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1311]) ).
cnf(c_0_1312_0,axiom,
( c_WellTypeRT_OWTrts(X1,X5,X2,X3,X4)
| ~ c_WellType_OWTs(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1312]) ).
cnf(c_0_1312_1,axiom,
( ~ c_WellType_OWTs(X1,X2,X3,X4)
| c_WellTypeRT_OWTrts(X1,X5,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1312]) ).
cnf(c_0_1313_0,axiom,
( c_List_Olist__all2(X1,X3,X3,X2,X2)
| ~ hBOOL(hAPP(hAPP(X1,c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2)),c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1313]) ).
cnf(c_0_1313_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2)),c_List_Osko__List__Xlist__all2__refl__1__1(X1,X2)))
| c_List_Olist__all2(X1,X3,X3,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1313]) ).
cnf(c_0_1314_0,axiom,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1314]) ).
cnf(c_0_1314_1,axiom,
( c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1314]) ).
cnf(c_0_1315_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
| ~ c_Objects_Ohext(X1,X2)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1315]) ).
cnf(c_0_1315_1,axiom,
( ~ c_Objects_Ohext(X1,X2)
| hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1315]) ).
cnf(c_0_1315_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X1,X4),X5),X6))
| ~ c_Objects_Ohext(X1,X2)
| hBOOL(hAPP(hAPP(c_Conform_Oconf(X3,X2,X4),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1315]) ).
cnf(c_0_1316_0,axiom,
( c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X4,X6,tc_Type_Oty))
| ~ c_WellType_OWT(X1,X2,X3,X4)
| ~ c_WellType_OWTs(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1316]) ).
cnf(c_0_1316_1,axiom,
( ~ c_WellType_OWT(X1,X2,X3,X4)
| c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X4,X6,tc_Type_Oty))
| ~ c_WellType_OWTs(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1316]) ).
cnf(c_0_1316_2,axiom,
( ~ c_WellType_OWTs(X1,X2,X5,X6)
| ~ c_WellType_OWT(X1,X2,X3,X4)
| c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X4,X6,tc_Type_Oty)) ),
inference(literals_permutation,[status(thm)],[c_0_1316]) ).
cnf(c_0_1317_0,axiom,
( X1 = X2
| hAPP(c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X5),X2) = hAPP(c_List_Onth(X3,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1317]) ).
cnf(c_0_1317_1,axiom,
( hAPP(c_List_Onth(c_List_Olist__update(X3,X1,X4,X5),X5),X2) = hAPP(c_List_Onth(X3,X5),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1317]) ).
cnf(c_0_1318_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat))) ),
inference(literals_permutation,[status(thm)],[c_0_1318]) ).
cnf(c_0_1318_1,axiom,
( ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1318]) ).
cnf(c_0_1319_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat))) ),
inference(literals_permutation,[status(thm)],[c_0_1319]) ).
cnf(c_0_1319_1,axiom,
( ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X3,tc_nat)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1319]) ).
cnf(c_0_1320_0,axiom,
( c_List_Oappend(c_List_Otake(X1,X3,X4),c_List_Otake(X2,c_List_Odrop(X1,X3,X4),X4),X4) = c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1320]) ).
cnf(c_0_1320_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat)
| c_List_Oappend(c_List_Otake(X1,X3,X4),c_List_Otake(X2,c_List_Odrop(X1,X3,X4),X4),X4) = c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1320]) ).
cnf(c_0_1321_0,axiom,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1321]) ).
cnf(c_0_1321_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1321]) ).
cnf(c_0_1321_2,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1321]) ).
cnf(c_0_1322_0,axiom,
( X1 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_List_Olist__update(c_List_Obutlast(X2,X3),X1,X4,X3) = c_List_Obutlast(c_List_Olist__update(X2,X1,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1322]) ).
cnf(c_0_1322_1,axiom,
( c_List_Olist__update(c_List_Obutlast(X2,X3),X1,X4,X3) = c_List_Obutlast(c_List_Olist__update(X2,X1,X4,X3),X3)
| X1 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1322]) ).
cnf(c_0_1323_0,axiom,
( c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1323]) ).
cnf(c_0_1323_1,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1323]) ).
cnf(c_0_1323_2,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1323]) ).
cnf(c_0_1324_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1324]) ).
cnf(c_0_1324_1,axiom,
( c_Expr_Oexp_OCall(X1,X3,X4,X5) != c_Expr_Oexp_OCall(X2,X6,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1324]) ).
cnf(c_0_1325_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1325]) ).
cnf(c_0_1325_1,axiom,
( c_Expr_Oexp_OCall(X3,X1,X4,X5) != c_Expr_Oexp_OCall(X6,X2,X7,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1325]) ).
cnf(c_0_1326_0,axiom,
( X1 = X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1326]) ).
cnf(c_0_1326_1,axiom,
( c_Expr_Oexp_OCall(X3,X4,X1,X5) != c_Expr_Oexp_OCall(X6,X7,X2,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1326]) ).
cnf(c_0_1327_0,axiom,
( X1 = X2
| c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1327]) ).
cnf(c_0_1327_1,axiom,
( c_Pair(X1,X3,X4,X5) != c_Pair(X2,X6,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1327]) ).
cnf(c_0_1328_0,axiom,
( X1 = X2
| c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1328]) ).
cnf(c_0_1328_1,axiom,
( c_Pair(X3,X1,X4,X5) != c_Pair(X6,X2,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1328]) ).
cnf(c_0_1329_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1329]) ).
cnf(c_0_1329_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1329]) ).
cnf(c_0_1329_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1329]) ).
cnf(c_0_1330_0,axiom,
( hAPP(c_List_Onth(c_List_Odrop(X1,X3,X4),X4),X2) = hAPP(c_List_Onth(X3,X4),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1330]) ).
cnf(c_0_1330_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat)
| hAPP(c_List_Onth(c_List_Odrop(X1,X3,X4),X4),X2) = hAPP(c_List_Onth(X3,X4),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)) ),
inference(literals_permutation,[status(thm)],[c_0_1330]) ).
cnf(c_0_1331_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1331]) ).
cnf(c_0_1331_1,axiom,
( c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1331]) ).
cnf(c_0_1332_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1332]) ).
cnf(c_0_1332_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1332]) ).
cnf(c_0_1332_2,axiom,
( ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1332]) ).
cnf(c_0_1332_3,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1332]) ).
cnf(c_0_1333_0,axiom,
( X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1333]) ).
cnf(c_0_1333_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1333]) ).
cnf(c_0_1333_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1333]) ).
cnf(c_0_1334_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1334_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1334_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
| ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1334_3,axiom,
( ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1334_4,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(X4,c_HOL_Oone__class_Oone(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X2,X3),c_Power_Opower__class_Opower(X4,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1335_0,axiom,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1335]) ).
cnf(c_0_1335_1,axiom,
( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1335]) ).
cnf(c_0_1336_0,axiom,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1336]) ).
cnf(c_0_1336_1,axiom,
( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1336]) ).
cnf(c_0_1337_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) = c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1337]) ).
cnf(c_0_1337_1,axiom,
( c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4) = c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1337]) ).
cnf(c_0_1338_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1338]) ).
cnf(c_0_1338_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1338]) ).
cnf(c_0_1339_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1339]) ).
cnf(c_0_1339_1,axiom,
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1339]) ).
cnf(c_0_1339_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1339]) ).
cnf(c_0_1340_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1340]) ).
cnf(c_0_1340_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1340]) ).
cnf(c_0_1340_2,axiom,
( ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1340]) ).
cnf(c_0_1340_3,axiom,
( ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1340]) ).
cnf(c_0_1341_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1341]) ).
cnf(c_0_1341_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1341]) ).
cnf(c_0_1341_2,axiom,
( ~ c_lessequals(X3,X5,X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1341]) ).
cnf(c_0_1341_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| ~ c_lessequals(X3,X5,X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1341]) ).
cnf(c_0_1342_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1342]) ).
cnf(c_0_1342_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1342]) ).
cnf(c_0_1342_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1342]) ).
cnf(c_0_1343_0,axiom,
( c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1343]) ).
cnf(c_0_1343_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1343]) ).
cnf(c_0_1343_2,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1343]) ).
cnf(c_0_1344_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
inference(literals_permutation,[status(thm)],[c_0_1344]) ).
cnf(c_0_1344_1,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1344]) ).
cnf(c_0_1345_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1345]) ).
cnf(c_0_1345_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1345]) ).
cnf(c_0_1345_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1345]) ).
cnf(c_0_1346_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1346]) ).
cnf(c_0_1346_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1346]) ).
cnf(c_0_1346_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1346]) ).
cnf(c_0_1347_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1347]) ).
cnf(c_0_1347_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1347]) ).
cnf(c_0_1347_2,axiom,
( ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1347]) ).
cnf(c_0_1348_0,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1348]) ).
cnf(c_0_1348_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1348]) ).
cnf(c_0_1348_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1348]) ).
cnf(c_0_1349_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1349]) ).
cnf(c_0_1349_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1349]) ).
cnf(c_0_1350_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1350]) ).
cnf(c_0_1350_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1350]) ).
cnf(c_0_1350_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1350]) ).
cnf(c_0_1350_3,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1350]) ).
cnf(c_0_1351_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1351]) ).
cnf(c_0_1351_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1351]) ).
cnf(c_0_1351_2,axiom,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X4,X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1351]) ).
cnf(c_0_1351_3,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X3),X4,X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1351]) ).
cnf(c_0_1352_0,axiom,
( c_lessequals(X3,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1352]) ).
cnf(c_0_1352_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X3,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1352]) ).
cnf(c_0_1353_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1353_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1353_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1353_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1354_0,axiom,
( c_List_Obutlast(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1354]) ).
cnf(c_0_1354_1,axiom,
( ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat)
| c_List_Obutlast(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1354]) ).
cnf(c_0_1355_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X4,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1355]) ).
cnf(c_0_1355_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat)
| ~ c_lessequals(X3,X4,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1355]) ).
cnf(c_0_1355_2,axiom,
( ~ c_lessequals(X3,X4,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X4,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1355]) ).
cnf(c_0_1356_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1356]) ).
cnf(c_0_1356_1,axiom,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1356]) ).
cnf(c_0_1357_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),X1) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
inference(literals_permutation,[status(thm)],[c_0_1357]) ).
cnf(c_0_1357_1,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),X1) = hAPP(c_List_Onth(X3,X4),c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1357]) ).
cnf(c_0_1358_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1358]) ).
cnf(c_0_1358_1,axiom,
( ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1358]) ).
cnf(c_0_1359_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1359]) ).
cnf(c_0_1359_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1359]) ).
cnf(c_0_1360_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1360]) ).
cnf(c_0_1360_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1360]) ).
cnf(c_0_1361_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1361]) ).
cnf(c_0_1361_1,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
| c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1361]) ).
cnf(c_0_1361_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
| c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1361]) ).
cnf(c_0_1362_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1362]) ).
cnf(c_0_1362_1,axiom,
( c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1362]) ).
cnf(c_0_1363_0,axiom,
( c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1363]) ).
cnf(c_0_1363_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1363]) ).
cnf(c_0_1364_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1364]) ).
cnf(c_0_1364_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1364]) ).
cnf(c_0_1365_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1365]) ).
cnf(c_0_1365_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1365]) ).
cnf(c_0_1366_0,axiom,
( c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1366]) ).
cnf(c_0_1366_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1366]) ).
cnf(c_0_1367_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1367]) ).
cnf(c_0_1367_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1367]) ).
cnf(c_0_1368_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1368]) ).
cnf(c_0_1368_1,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1368]) ).
cnf(c_0_1368_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1368]) ).
cnf(c_0_1369_0,axiom,
( c_List_Olist__update(X1,X3,X4,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1369]) ).
cnf(c_0_1369_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Olist__update(X1,X3,X4,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1369]) ).
cnf(c_0_1370_0,axiom,
( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1370]) ).
cnf(c_0_1370_1,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1370]) ).
cnf(c_0_1371_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Nat_Onat_Onat__case(X2,X3,X1,X4) = hAPP(X3,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
inference(literals_permutation,[status(thm)],[c_0_1371]) ).
cnf(c_0_1371_1,axiom,
( c_Nat_Onat_Onat__case(X2,X3,X1,X4) = hAPP(X3,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1371]) ).
cnf(c_0_1372_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1372]) ).
cnf(c_0_1372_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1372]) ).
cnf(c_0_1372_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1372]) ).
cnf(c_0_1372_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1372]) ).
cnf(c_0_1373_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1373_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1373_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1373_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1374_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1374]) ).
cnf(c_0_1374_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1374]) ).
cnf(c_0_1374_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1374]) ).
cnf(c_0_1375_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1375]) ).
cnf(c_0_1375_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1375]) ).
cnf(c_0_1375_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1375]) ).
cnf(c_0_1376_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1376]) ).
cnf(c_0_1376_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1376]) ).
cnf(c_0_1376_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1376]) ).
cnf(c_0_1377_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1377]) ).
cnf(c_0_1377_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1377]) ).
cnf(c_0_1377_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1377]) ).
cnf(c_0_1378_0,axiom,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1378]) ).
cnf(c_0_1378_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1378]) ).
cnf(c_0_1378_2,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1378]) ).
cnf(c_0_1378_3,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1378]) ).
cnf(c_0_1378_4,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1378]) ).
cnf(c_0_1379_0,axiom,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1379_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1379_2,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1379_3,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1379_4,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1380_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1380]) ).
cnf(c_0_1380_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1380]) ).
cnf(c_0_1381_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1381]) ).
cnf(c_0_1381_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1381]) ).
cnf(c_0_1382_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1382]) ).
cnf(c_0_1382_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1382]) ).
cnf(c_0_1383_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1383]) ).
cnf(c_0_1383_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1383]) ).
cnf(c_0_1384_0,axiom,
( X1 = X2
| ~ c_lessequals(X3,X1,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1384_1,axiom,
( ~ c_lessequals(X3,X1,tc_nat)
| X1 = X2
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1384_2,axiom,
( ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat)
| X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1384_3,axiom,
( c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1385_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1385]) ).
cnf(c_0_1385_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1385]) ).
cnf(c_0_1385_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1385]) ).
cnf(c_0_1386_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1386]) ).
cnf(c_0_1386_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1386]) ).
cnf(c_0_1386_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1386]) ).
cnf(c_0_1387_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1387]) ).
cnf(c_0_1387_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1387]) ).
cnf(c_0_1388_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1388]) ).
cnf(c_0_1388_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1388]) ).
cnf(c_0_1389_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1389]) ).
cnf(c_0_1389_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1389]) ).
cnf(c_0_1390_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1390]) ).
cnf(c_0_1390_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1390]) ).
cnf(c_0_1391_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1391]) ).
cnf(c_0_1391_1,axiom,
( ~ class_OrderedGroup_Oab__semigroup__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1391]) ).
cnf(c_0_1392_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1392]) ).
cnf(c_0_1392_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1392]) ).
cnf(c_0_1393_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1393]) ).
cnf(c_0_1393_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1393]) ).
cnf(c_0_1394_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1394]) ).
cnf(c_0_1394_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1394]) ).
cnf(c_0_1395_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1395]) ).
cnf(c_0_1395_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1395]) ).
cnf(c_0_1396_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1396]) ).
cnf(c_0_1396_1,axiom,
( c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1396]) ).
cnf(c_0_1397_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1397]) ).
cnf(c_0_1397_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1397]) ).
cnf(c_0_1397_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1397]) ).
cnf(c_0_1398_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1398_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1398_2,axiom,
( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1398_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1399_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1399_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1399_2,axiom,
( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1399_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1400_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X3),c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1400]) ).
cnf(c_0_1400_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X3),c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3)
| ~ class_Ring__and__Field_Oring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1400]) ).
cnf(c_0_1400_2,axiom,
( ~ class_Ring__and__Field_Oring__1(X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X3),c_Nat_Osemiring__1__class_Oof__nat(X1,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1400]) ).
cnf(c_0_1401_0,axiom,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1401]) ).
cnf(c_0_1401_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3)
| X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1401]) ).
cnf(c_0_1402_0,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat)) = X1
| c_Int_Onumber__class_Onumber__of(X4,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1402]) ).
cnf(c_0_1402_1,axiom,
( c_Int_Onumber__class_Onumber__of(X4,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1402]) ).
cnf(c_0_1403_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1403]) ).
cnf(c_0_1403_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1403]) ).
cnf(c_0_1404_0,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1404]) ).
cnf(c_0_1404_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1404]) ).
cnf(c_0_1405_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1405_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1405_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1405_3,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1405_4,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1406_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1406_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1406_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1406_3,axiom,
( c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1406_4,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1407_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1407_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1407_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1407_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1408_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1408]) ).
cnf(c_0_1408_1,axiom,
( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1408]) ).
cnf(c_0_1409_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1409]) ).
cnf(c_0_1409_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1409]) ).
cnf(c_0_1409_2,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1409]) ).
cnf(c_0_1410_0,axiom,
( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1410]) ).
cnf(c_0_1410_1,axiom,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1410]) ).
cnf(c_0_1410_2,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1410]) ).
cnf(c_0_1411_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1411]) ).
cnf(c_0_1411_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1411]) ).
cnf(c_0_1411_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1411]) ).
cnf(c_0_1412_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1412]) ).
cnf(c_0_1412_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1412]) ).
cnf(c_0_1412_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1412]) ).
cnf(c_0_1413_0,axiom,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1413]) ).
cnf(c_0_1413_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1413]) ).
cnf(c_0_1414_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1414]) ).
cnf(c_0_1414_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1414]) ).
cnf(c_0_1414_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1414]) ).
cnf(c_0_1415_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1415]) ).
cnf(c_0_1415_1,axiom,
( ~ c_lessequals(X2,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1415]) ).
cnf(c_0_1416_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1416]) ).
cnf(c_0_1416_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1416]) ).
cnf(c_0_1417_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1417]) ).
cnf(c_0_1417_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1417]) ).
cnf(c_0_1418_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1418]) ).
cnf(c_0_1418_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1418]) ).
cnf(c_0_1419_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1419]) ).
cnf(c_0_1419_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1419]) ).
cnf(c_0_1420_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1420]) ).
cnf(c_0_1420_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1420]) ).
cnf(c_0_1421_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1421]) ).
cnf(c_0_1421_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1421]) ).
cnf(c_0_1422_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1422]) ).
cnf(c_0_1422_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1422]) ).
cnf(c_0_1423_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1423_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1423_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1423_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1424_0,axiom,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1424]) ).
cnf(c_0_1424_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1424]) ).
cnf(c_0_1424_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1424]) ).
cnf(c_0_1424_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1424]) ).
cnf(c_0_1425_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3)
| ~ class_Ring__and__Field_Osemiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1425]) ).
cnf(c_0_1425_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X3)
| c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1425]) ).
cnf(c_0_1426_0,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1426]) ).
cnf(c_0_1426_1,axiom,
( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
| c_lessequals(X1,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1426]) ).
cnf(c_0_1426_2,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X2)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
| c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1426]) ).
cnf(c_0_1427_0,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1427]) ).
cnf(c_0_1427_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1427]) ).
cnf(c_0_1427_2,axiom,
( ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1427]) ).
cnf(c_0_1428_0,axiom,
( hAPP(c_List_Onth(X1,X2),X3) = X4
| c_List_Odrop(X3,X1,X2) != c_List_Olist_OCons(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1428]) ).
cnf(c_0_1428_1,axiom,
( c_List_Odrop(X3,X1,X2) != c_List_Olist_OCons(X4,X5,X2)
| hAPP(c_List_Onth(X1,X2),X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1428]) ).
cnf(c_0_1429_0,axiom,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1429]) ).
cnf(c_0_1429_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1429]) ).
cnf(c_0_1430_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1430]) ).
cnf(c_0_1430_1,axiom,
( c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1430]) ).
cnf(c_0_1431_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1431]) ).
cnf(c_0_1431_1,axiom,
( c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1431]) ).
cnf(c_0_1432_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1432]) ).
cnf(c_0_1432_1,axiom,
( c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1432]) ).
cnf(c_0_1433_0,axiom,
( c_List_Orotate(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1433]) ).
cnf(c_0_1433_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_List_Orotate(X3,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1433]) ).
cnf(c_0_1434_0,axiom,
( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1434]) ).
cnf(c_0_1434_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1434]) ).
cnf(c_0_1435_0,axiom,
( c_List_Otake(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1435_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Otake(X3,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1436_0,axiom,
( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1436_2,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1437_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_Int_Onumber__ring(X4)
| ~ class_Ring__and__Field_Oidom(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_1,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2
| ~ class_Int_Onumber__ring(X4)
| ~ class_Ring__and__Field_Oidom(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_2,axiom,
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2
| ~ class_Ring__and__Field_Oidom(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1437_3,axiom,
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1438_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1438_1,axiom,
( c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1439_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1440_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1441_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1442_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_1,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_2,axiom,
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1443_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_1,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_2,axiom,
( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1444_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_1,axiom,
( c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
| X1 = X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_2,axiom,
( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1445_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1446_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_1,axiom,
( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1446_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1447_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_1,axiom,
( c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1448_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1449_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = X3
| c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1449]) ).
cnf(c_0_1449_1,axiom,
( X2 = X3
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1449]) ).
cnf(c_0_1449_2,axiom,
( c_List_Oreplicate(X1,X2,X4) != c_List_Oreplicate(X5,X3,X4)
| X2 = X3
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1449]) ).
cnf(c_0_1450_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1450_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = X2
| c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1450_2,axiom,
( c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1451_0,axiom,
( X1 = X2
| c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_1,axiom,
( c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1452_0,axiom,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1452_1,axiom,
( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1453_0,axiom,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_1,axiom,
( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1454_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_1,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1455_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1455]) ).
cnf(c_0_1455_1,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1455]) ).
cnf(c_0_1456_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1456]) ).
cnf(c_0_1456_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1456]) ).
cnf(c_0_1456_2,axiom,
( ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1456]) ).
cnf(c_0_1457_0,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1457]) ).
cnf(c_0_1457_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1457]) ).
cnf(c_0_1458_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1458]) ).
cnf(c_0_1458_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1458]) ).
cnf(c_0_1459_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1459]) ).
cnf(c_0_1459_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1459]) ).
cnf(c_0_1460_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1460]) ).
cnf(c_0_1460_1,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1460]) ).
cnf(c_0_1461_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1461_1,axiom,
( c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) != c_HOL_Oplus__class_Oplus(X2,X3,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1462_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1462_1,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1463_0,axiom,
( c_List_Orotate1(X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_List_Orotate1(X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1464_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1465_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1466_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_1,axiom,
( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_2,axiom,
( ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_3,axiom,
( ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_4,axiom,
( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_5,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1467_0,axiom,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_1,axiom,
( ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_2,axiom,
( ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_3,axiom,
( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_4,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1468_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1469_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1470_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1471_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1472_0,axiom,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1473_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Ring__and__Field_Oidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_Int_Onumber__ring(X3)
| ~ class_Ring__and__Field_Oidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_2,axiom,
( ~ class_Int_Onumber__ring(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_Ring__and__Field_Oidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_3,axiom,
( ~ class_Ring__and__Field_Oidom(X3)
| ~ class_Int_Onumber__ring(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1474_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_1,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_2,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1474_3,axiom,
( ~ class_Ring__and__Field_Oidom(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1475_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1475_1,axiom,
( c_lessequals(X2,X1,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1475]) ).
cnf(c_0_1476_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1476_1,axiom,
( c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1476_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1476]) ).
cnf(c_0_1477_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1477_1,axiom,
( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1477_2,axiom,
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1478_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1478]) ).
cnf(c_0_1478_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1478]) ).
cnf(c_0_1478_2,axiom,
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1478]) ).
cnf(c_0_1479_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1479_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1479_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1480_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_List_Olist_ONil(X3)
| c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1480_1,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1480_2,axiom,
( c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3)
| X2 = c_List_Olist_ONil(X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1481_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1481_1,axiom,
( c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1482_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1482_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1483_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1484_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1484_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1485_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1486_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_1,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_2,axiom,
( ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_3,axiom,
( ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_4,axiom,
( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_5,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1487_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1487_1,axiom,
( c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1488_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1488_1,axiom,
( c_List_Oreplicate(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1489_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1489_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1490_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1490_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1491_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1491_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1492_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1492_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1493_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1493_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1494_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1494_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1495_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1495_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1496_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1496_1,axiom,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1497_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1497_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1498_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1498_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1499_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1499_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1500_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Osemiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_1,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Osemiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_2,axiom,
( ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Osemiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1500_3,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1501_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Power_Opower(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1501_1,axiom,
( ~ class_Power_Opower(X1)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1501_2,axiom,
( ~ class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Opower(X1)
| c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1502_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1502_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1503_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1503_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1503_2,axiom,
( ~ class_Ring__and__Field_Oidom(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1504_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1504_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1505_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_2,axiom,
( ~ class_Ring__and__Field_Oidom(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1506_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_1,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1507_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1507_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1508_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1508]) ).
cnf(c_0_1508_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1508]) ).
cnf(c_0_1509_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1509_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X2)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1509]) ).
cnf(c_0_1510_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1510_1,axiom,
( ~ class_OrderedGroup_Omonoid__add(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1511_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Omonoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1511_1,axiom,
( ~ class_OrderedGroup_Omonoid__add(X2)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1512_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1512_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1513_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1513_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1514_0,axiom,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1515_0,axiom,
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Power_Opower(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_1,axiom,
( ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) = c_HOL_Oone__class_Oone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1516_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1516_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1517_0,axiom,
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1517_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1518_0,axiom,
( c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1
| ~ class_OrderedGroup_Omonoid__mult(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1518_1,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X2)
| c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1519_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1519_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1520_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1520_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1521_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X2)
| c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1522_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1523_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1523_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1524_0,axiom,
( X1 = X2
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| X1 = X2
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_2,axiom,
( ~ class_Int_Onumber__ring(X3)
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| X1 = X2
| ~ class_Int_Oring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_3,axiom,
( ~ class_Int_Oring__char__0(X3)
| ~ class_Int_Onumber__ring(X3)
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1525_0,axiom,
( c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_1,axiom,
( ~ c_Objects_Ohext(X1,X2)
| c_Objects_Ohext(X1,X3)
| ~ c_Objects_Ohext(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_2,axiom,
( ~ c_Objects_Ohext(X2,X3)
| ~ c_Objects_Ohext(X1,X2)
| c_Objects_Ohext(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1526_0,axiom,
( X1 = X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
| ~ class_Nat_Osemiring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_1,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
| X1 = X2
| ~ class_Nat_Osemiring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_2,axiom,
( ~ class_Nat_Osemiring__char__0(X3)
| c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1527_0,axiom,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1527_1,axiom,
( c_List_Orev(X1,X3) != c_List_Orev(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1528_0,axiom,
( X1 = X2
| c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1528_1,axiom,
( c_Expr_Oexp_OVal(X1,X3) != c_Expr_Oexp_OVal(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1529_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1529_1,axiom,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1530_0,axiom,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1531_0,axiom,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1531_1,axiom,
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1532_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1532_1,axiom,
( c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1533_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1534_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1535_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1536_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_1,axiom,
( ~ class_Ring__and__Field_Osemiring__1(X1)
| c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1537_0,axiom,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_1,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1538_0,axiom,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_1,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1539_0,axiom,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_1,axiom,
( c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_991,negated_conjecture,
! [X1] :
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1) ),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_1_992,negated_conjecture,
~ v_thesis____,
file('<stdin>',cls_conjecture_0) ).
fof(c_0_2_993,negated_conjecture,
! [X1] :
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_3_994,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_4_995,negated_conjecture,
! [X2] :
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X2,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X2) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2])])]) ).
fof(c_0_5_996,negated_conjecture,
~ v_thesis____,
c_0_3 ).
cnf(c_0_6_997,negated_conjecture,
( v_thesis____
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_998,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8_999,negated_conjecture,
( v_thesis____
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
c_0_6,
[final] ).
cnf(c_0_9_1000,negated_conjecture,
~ v_thesis____,
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_992,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p',c_0_9) ).
cnf(c_1296,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_992]) ).
cnf(c_1300,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1296]) ).
cnf(c_1301,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1300]) ).
cnf(c_1302,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1301]) ).
cnf(c_4174,negated_conjecture,
~ v_thesis____,
inference(copy,[status(esa)],[c_1302]) ).
cnf(c_119,plain,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0)
| v_thesis____ ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p',c_0_1274_0) ).
cnf(c_2535,plain,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0)
| v_thesis____ ),
inference(copy,[status(esa)],[c_119]) ).
cnf(c_4178,plain,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4174,c_2535]) ).
cnf(c_4179,plain,
( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0) ),
inference(rewriting,[status(thm)],[c_4178]) ).
cnf(c_802,plain,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p',c_0_980_0) ).
cnf(c_3899,plain,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
inference(copy,[status(esa)],[c_802]) ).
cnf(c_4210,plain,
~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
inference(resolution,[status(thm)],[c_4179,c_3899]) ).
cnf(c_4211,plain,
~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
inference(rewriting,[status(thm)],[c_4210]) ).
cnf(c_803,plain,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p',c_0_979_0) ).
cnf(c_3901,plain,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
inference(copy,[status(esa)],[c_803]) ).
cnf(c_4227,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4211,c_3901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV972-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Tue Jun 14 16:56:11 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Running in mono-core mode
% 0.20/0.49 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.49 % Orientation found
% 0.20/0.49 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_6abc8e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_1df150.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f1d01d | grep -v "SZS"
% 0.20/0.51
% 0.20/0.51 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ iProver source info
% 0.20/0.51
% 0.20/0.51 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51 % git: non_committed_changes: true
% 0.20/0.51 % git: last_make_outside_of_git: true
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ Input Options
% 0.20/0.51
% 0.20/0.51 % --out_options all
% 0.20/0.51 % --tptp_safe_out true
% 0.20/0.51 % --problem_path ""
% 0.20/0.51 % --include_path ""
% 0.20/0.51 % --clausifier .//eprover
% 0.20/0.51 % --clausifier_options --tstp-format
% 0.20/0.51 % --stdin false
% 0.20/0.51 % --dbg_backtrace false
% 0.20/0.51 % --dbg_dump_prop_clauses false
% 0.20/0.51 % --dbg_dump_prop_clauses_file -
% 0.20/0.51 % --dbg_out_stat false
% 0.20/0.51
% 0.20/0.51 % ------ General Options
% 0.20/0.51
% 0.20/0.51 % --fof false
% 0.20/0.51 % --time_out_real 150.
% 0.20/0.51 % --time_out_prep_mult 0.2
% 0.20/0.51 % --time_out_virtual -1.
% 0.20/0.51 % --schedule none
% 0.20/0.51 % --ground_splitting input
% 0.20/0.51 % --splitting_nvd 16
% 0.20/0.51 % --non_eq_to_eq false
% 0.20/0.51 % --prep_gs_sim true
% 0.20/0.51 % --prep_unflatten false
% 0.20/0.51 % --prep_res_sim true
% 0.20/0.51 % --prep_upred true
% 0.20/0.51 % --res_sim_input true
% 0.20/0.51 % --clause_weak_htbl true
% 0.20/0.51 % --gc_record_bc_elim false
% 0.20/0.51 % --symbol_type_check false
% 0.20/0.51 % --clausify_out false
% 0.20/0.51 % --large_theory_mode false
% 0.20/0.51 % --prep_sem_filter none
% 0.20/0.51 % --prep_sem_filter_out false
% 0.20/0.51 % --preprocessed_out false
% 0.20/0.51 % --sub_typing false
% 0.20/0.51 % --brand_transform false
% 0.20/0.51 % --pure_diseq_elim true
% 0.20/0.51 % --min_unsat_core false
% 0.20/0.51 % --pred_elim true
% 0.20/0.51 % --add_important_lit false
% 0.20/0.51 % --soft_assumptions false
% 0.20/0.51 % --reset_solvers false
% 0.20/0.51 % --bc_imp_inh []
% 0.20/0.51 % --conj_cone_tolerance 1.5
% 0.20/0.51 % --prolific_symb_bound 500
% 0.20/0.51 % --lt_threshold 2000
% 0.20/0.51
% 0.20/0.51 % ------ SAT Options
% 0.20/0.51
% 0.20/0.51 % --sat_mode false
% 0.20/0.51 % --sat_fm_restart_options ""
% 0.20/0.51 % --sat_gr_def false
% 0.20/0.51 % --sat_epr_types true
% 0.20/0.51 % --sat_non_cyclic_types false
% 0.20/0.51 % --sat_finite_models false
% 0.20/0.51 % --sat_fm_lemmas false
% 0.20/0.51 % --sat_fm_prep false
% 0.20/0.51 % --sat_fm_uc_incr true
% 0.20/0.51 % --sat_out_model small
% 0.20/0.51 % --sat_out_clauses false
% 0.20/0.51
% 0.20/0.51 % ------ QBF Options
% 0.20/0.51
% 0.20/0.51 % --qbf_mode false
% 0.20/0.51 % --qbf_elim_univ true
% 0.20/0.51 % --qbf_sk_in true
% 0.20/0.51 % --qbf_pred_elim true
% 0.20/0.51 % --qbf_split 32
% 0.20/0.51
% 0.20/0.51 % ------ BMC1 Options
% 0.20/0.51
% 0.20/0.51 % --bmc1_incremental false
% 0.20/0.51 % --bmc1_axioms reachable_all
% 0.20/0.51 % --bmc1_min_bound 0
% 0.20/0.51 % --bmc1_max_bound -1
% 0.20/0.51 % --bmc1_max_bound_default -1
% 0.20/0.51 % --bmc1_symbol_reachability true
% 0.20/0.51 % --bmc1_property_lemmas false
% 0.20/0.51 % --bmc1_k_induction false
% 0.20/0.51 % --bmc1_non_equiv_states false
% 0.20/0.51 % --bmc1_deadlock false
% 0.20/0.51 % --bmc1_ucm false
% 0.20/0.51 % --bmc1_add_unsat_core none
% 0.20/0.51 % --bmc1_unsat_core_children false
% 0.20/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.51 % --bmc1_out_stat full
% 0.20/0.51 % --bmc1_ground_init false
% 0.20/0.51 % --bmc1_pre_inst_next_state false
% 0.20/0.51 % --bmc1_pre_inst_state false
% 0.20/0.51 % --bmc1_pre_inst_reach_state false
% 0.20/0.51 % --bmc1_out_unsat_core false
% 0.20/0.51 % --bmc1_aig_witness_out false
% 0.20/0.51 % --bmc1_verbose false
% 0.20/0.51 % --bmc1_dump_clauses_tptp false
% 0.42/0.62 % --bmc1_dump_unsat_core_tptp false
% 0.42/0.62 % --bmc1_dump_file -
% 0.42/0.62 % --bmc1_ucm_expand_uc_limit 128
% 0.42/0.62 % --bmc1_ucm_n_expand_iterations 6
% 0.42/0.62 % --bmc1_ucm_extend_mode 1
% 0.42/0.62 % --bmc1_ucm_init_mode 2
% 0.42/0.62 % --bmc1_ucm_cone_mode none
% 0.42/0.62 % --bmc1_ucm_reduced_relation_type 0
% 0.42/0.62 % --bmc1_ucm_relax_model 4
% 0.42/0.62 % --bmc1_ucm_full_tr_after_sat true
% 0.42/0.62 % --bmc1_ucm_expand_neg_assumptions false
% 0.42/0.62 % --bmc1_ucm_layered_model none
% 0.42/0.62 % --bmc1_ucm_max_lemma_size 10
% 0.42/0.62
% 0.42/0.62 % ------ AIG Options
% 0.42/0.62
% 0.42/0.62 % --aig_mode false
% 0.42/0.62
% 0.42/0.62 % ------ Instantiation Options
% 0.42/0.62
% 0.42/0.62 % --instantiation_flag true
% 0.42/0.62 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.42/0.62 % --inst_solver_per_active 750
% 0.42/0.62 % --inst_solver_calls_frac 0.5
% 0.42/0.62 % --inst_passive_queue_type priority_queues
% 0.42/0.62 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.42/0.62 % --inst_passive_queues_freq [25;2]
% 0.42/0.62 % --inst_dismatching true
% 0.42/0.62 % --inst_eager_unprocessed_to_passive true
% 0.42/0.62 % --inst_prop_sim_given true
% 0.42/0.62 % --inst_prop_sim_new false
% 0.42/0.62 % --inst_orphan_elimination true
% 0.42/0.62 % --inst_learning_loop_flag true
% 0.42/0.62 % --inst_learning_start 3000
% 0.42/0.62 % --inst_learning_factor 2
% 0.42/0.62 % --inst_start_prop_sim_after_learn 3
% 0.42/0.62 % --inst_sel_renew solver
% 0.42/0.62 % --inst_lit_activity_flag true
% 0.42/0.62 % --inst_out_proof true
% 0.42/0.62
% 0.42/0.62 % ------ Resolution Options
% 0.42/0.62
% 0.42/0.62 % --resolution_flag true
% 0.42/0.62 % --res_lit_sel kbo_max
% 0.42/0.62 % --res_to_prop_solver none
% 0.42/0.62 % --res_prop_simpl_new false
% 0.42/0.62 % --res_prop_simpl_given false
% 0.42/0.62 % --res_passive_queue_type priority_queues
% 0.42/0.62 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.42/0.62 % --res_passive_queues_freq [15;5]
% 0.42/0.62 % --res_forward_subs full
% 0.42/0.62 % --res_backward_subs full
% 0.42/0.62 % --res_forward_subs_resolution true
% 0.42/0.62 % --res_backward_subs_resolution true
% 0.42/0.62 % --res_orphan_elimination false
% 0.42/0.62 % --res_time_limit 1000.
% 0.42/0.62 % --res_out_proof true
% 0.42/0.62 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_6abc8e.s
% 0.42/0.62 % --modulo true
% 0.42/0.62
% 0.42/0.62 % ------ Combination Options
% 0.42/0.62
% 0.42/0.62 % --comb_res_mult 1000
% 0.42/0.62 % --comb_inst_mult 300
% 0.42/0.62 % ------
% 0.42/0.62
% 0.42/0.62 % ------ Parsing...% successful
% 0.42/0.62
% 0.42/0.62 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.42/0.62
% 0.42/0.62 % ------ Proving...
% 0.42/0.62 % ------ Problem Properties
% 0.42/0.62
% 0.42/0.62 %
% 0.42/0.62 % EPR false
% 0.42/0.62 % Horn false
% 0.42/0.62 % Has equality true
% 0.42/0.62
% 0.42/0.62 % % ------ Input Options Time Limit: Unbounded
% 0.42/0.62
% 0.42/0.62
% 0.42/0.62 % warning: Clause {~(c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty));~(c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0));v_thesis____} has no selected literals
% 0.42/0.62 cnf(c_991,negated_conjecture,
% 0.42/0.62 ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
% 0.42/0.62 | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0)
% 0.42/0.62 | v_thesis____ ),
% 0.42/0.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p', c_0_8) ).
% 0.42/0.62
% 0.42/0.62 % warning: Clause {~(c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty));~(c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0));v_thesis____} has no selected literals
% 0.42/0.62 cnf(c_991,negated_conjecture,
% 0.42/0.62 ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
% 3.02/3.23 | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0)
% 3.02/3.23 | v_thesis____ ),
% 3.02/3.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p', c_0_8) ).
% 3.02/3.23
% 3.02/3.23 Compiling...
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% 3.02/3.23 Loading plugin: done.
% 3.02/3.23 Compiling...
% 3.02/3.23 Loading plugin: done.
% 3.02/3.23 % warning: Clause {~(c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty));~(c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0));v_thesis____} has no selected literals
% 3.02/3.23 cnf(c_991,negated_conjecture,
% 3.02/3.23 ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
% 3.02/3.23 | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0)
% 3.02/3.23 | v_thesis____ ),
% 3.02/3.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p', c_0_8) ).
% 3.02/3.23
% 3.02/3.23 % warning: Clause {~(c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty));~(c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0));v_thesis____} has no selected literals
% 3.02/3.23 cnf(c_991,negated_conjecture,
% 3.02/3.23 ( ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0,v_Us____,tc_Type_Oty,tc_Type_Oty)
% 3.02/3.23 | ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X0)
% 3.02/3.23 | v_thesis____ ),
% 3.02/3.23 file('/export/starexec/sandbox2/tmp/iprover_modulo_1df150.p', c_0_8) ).
% 3.02/3.23
% 3.02/3.23 % % ------ Current options:
% 3.02/3.23
% 3.02/3.23 % ------ Input Options
% 3.02/3.23
% 3.02/3.23 % --out_options all
% 3.02/3.23 % --tptp_safe_out true
% 3.02/3.23 % --problem_path ""
% 3.02/3.23 % --include_path ""
% 3.02/3.23 % --clausifier .//eprover
% 3.02/3.23 % --clausifier_options --tstp-format
% 3.02/3.23 % --stdin false
% 3.02/3.23 % --dbg_backtrace false
% 3.02/3.23 % --dbg_dump_prop_clauses false
% 3.02/3.23 % --dbg_dump_prop_clauses_file -
% 3.02/3.23 % --dbg_out_stat false
% 3.02/3.23
% 3.02/3.23 % ------ General Options
% 3.02/3.23
% 3.02/3.23 % --fof false
% 3.02/3.23 % --time_out_real 150.
% 3.02/3.23 % --time_out_prep_mult 0.2
% 3.02/3.23 % --time_out_virtual -1.
% 3.02/3.23 % --schedule none
% 3.02/3.23 % --ground_splitting input
% 3.02/3.23 % --splitting_nvd 16
% 3.02/3.23 % --non_eq_to_eq false
% 3.02/3.23 % --prep_gs_sim true
% 3.02/3.23 % --prep_unflatten false
% 3.02/3.23 % --prep_res_sim true
% 3.02/3.23 % --prep_upred true
% 3.02/3.23 % --res_sim_input true
% 3.02/3.23 % --clause_weak_htbl true
% 3.02/3.23 % --gc_record_bc_elim false
% 3.02/3.23 % --symbol_type_check false
% 3.02/3.23 % --clausify_out false
% 3.02/3.23 % --large_theory_mode false
% 3.02/3.23 % --prep_sem_filter none
% 3.02/3.23 % --prep_sem_filter_out false
% 3.02/3.23 % --preprocessed_out false
% 3.02/3.23 % --sub_typing false
% 3.02/3.23 % --brand_transform false
% 3.02/3.23 % --pure_diseq_elim true
% 3.02/3.23 % --min_unsat_core false
% 3.02/3.23 % --pred_elim true
% 3.02/3.23 % --add_important_lit false
% 3.02/3.23 % --soft_assumptions false
% 3.02/3.23 % --reset_solvers false
% 3.02/3.23 % --bc_imp_inh []
% 3.02/3.23 % --conj_cone_tolerance 1.5
% 3.02/3.23 % --prolific_symb_bound 500
% 3.02/3.23 % --lt_threshold 2000
% 3.02/3.23
% 3.02/3.23 % ------ SAT Options
% 3.02/3.23
% 3.02/3.23 % --sat_mode false
% 3.02/3.23 % --sat_fm_restart_options ""
% 3.02/3.23 % --sat_gr_def false
% 3.02/3.23 % --sat_epr_types true
% 3.02/3.23 % --sat_non_cyclic_types false
% 3.02/3.23 % --sat_finite_models false
% 3.02/3.23 % --sat_fm_lemmas false
% 3.02/3.23 % --sat_fm_prep false
% 3.02/3.23 % --sat_fm_uc_incr true
% 3.02/3.23 % --sat_out_model small
% 3.02/3.23 % --sat_out_clauses false
% 3.02/3.23
% 3.02/3.23 % ------ QBF Options
% 3.02/3.23
% 3.02/3.23 % --qbf_mode false
% 3.02/3.23 % --qbf_elim_univ true
% 3.02/3.23 % --qbf_sk_in true
% 3.02/3.23 % --qbf_pred_elim true
% 3.02/3.23 % --qbf_split 32
% 3.02/3.23
% 3.02/3.23 % ------ BMC1 Options
% 3.02/3.23
% 3.02/3.23 % --bmc1_incremental false
% 3.02/3.23 % --bmc1_axioms reachable_all
% 3.02/3.23 % --bmc1_min_bound 0
% 3.02/3.23 % --bmc1_max_bound -1
% 3.02/3.23 % --bmc1_max_bound_default -1
% 3.02/3.23 % --bmc1_symbol_reachability true
% 3.02/3.23 % --bmc1_property_lemmas false
% 3.02/3.23 % --bmc1_k_induction false
% 3.02/3.23 % --bmc1_non_equiv_states false
% 3.02/3.23 % --bmc1_deadlock false
% 3.02/3.23 % --bmc1_ucm false
% 3.02/3.23 % --bmc1_add_unsat_core none
% 3.02/3.23 % --bmc1_unsat_core_children false
% 3.02/3.23 % --bmc1_unsat_core_extrapolate_axioms false
% 3.02/3.23 % --bmc1_out_stat full
% 3.02/3.23 % --bmc1_ground_init false
% 3.02/3.23 % --bmc1_pre_inst_next_state false
% 3.02/3.23 % --bmc1_pre_inst_state false
% 3.02/3.23 % --bmc1_pre_inst_reach_state false
% 3.02/3.23 % --bmc1_out_unsat_core false
% 3.02/3.23 % --bmc1_aig_witness_out false
% 3.02/3.23 % --bmc1_verbose false
% 3.02/3.23 % --bmc1_dump_clauses_tptp false
% 3.02/3.23 % --bmc1_dump_unsat_core_tptp false
% 3.02/3.23 % --bmc1_dump_file -
% 3.02/3.23 % --bmc1_ucm_expand_uc_limit 128
% 3.02/3.23 % --bmc1_ucm_n_expand_iterations 6
% 3.02/3.23 % --bmc1_ucm_extend_mode 1
% 3.02/3.23 % --bmc1_ucm_init_mode 2
% 3.02/3.23 % --bmc1_ucm_cone_mode none
% 3.02/3.23 % --bmc1_ucm_reduced_relation_type 0
% 3.02/3.23 % --bmc1_ucm_relax_model 4
% 3.02/3.23 % --bmc1_ucm_full_tr_after_sat true
% 3.02/3.23 % --bmc1_ucm_expand_neg_assumptions false
% 3.02/3.23 % --bmc1_ucm_layered_model none
% 3.02/3.23 % --bmc1_ucm_max_lemma_size 10
% 3.02/3.23
% 3.02/3.23 % ------ AIG Options
% 3.02/3.23
% 3.02/3.23 % --aig_mode false
% 3.02/3.23
% 3.02/3.23 % ------ Instantiation Options
% 3.02/3.23
% 3.02/3.23 % --instantiation_flag true
% 3.02/3.23 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.02/3.23 % --inst_solver_per_active 750
% 3.02/3.23 % --inst_solver_calls_frac 0.5
% 3.02/3.23 % --inst_passive_queue_type priority_queues
% 3.02/3.23 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.02/3.23 % --inst_passive_queues_freq [25;2]
% 3.02/3.23 % --inst_dismatching true
% 3.02/3.23 % --inst_eager_unprocessed_to_passive true
% 3.02/3.23 % --inst_prop_sim_given true
% 3.02/3.23 % --inst_prop_sim_new false
% 3.02/3.23 % --inst_orphan_elimination true
% 3.02/3.23 % --inst_learning_loop_flag true
% 3.02/3.23 % --inst_learning_start 3000
% 3.02/3.23 % --inst_learning_factor 2
% 3.02/3.23 % --inst_start_prop_sim_after_learn 3
% 3.02/3.23 % --inst_sel_renew solver
% 3.02/3.23 % --inst_lit_activity_flag true
% 3.02/3.23 % --inst_out_proof true
% 3.02/3.23
% 3.02/3.23 % ------ Resolution Options
% 3.02/3.23
% 3.02/3.23 % --resolution_flag true
% 3.02/3.23 % --res_lit_sel kbo_max
% 3.02/3.23 % --res_to_prop_solver none
% 3.02/3.23 % --res_prop_simpl_new false
% 3.02/3.23 % --res_prop_simpl_given false
% 3.02/3.23 % --res_passive_queue_type priority_queues
% 3.02/3.23 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.02/3.23 % --res_passive_queues_freq [15;5]
% 3.02/3.23 % --res_forward_subs full
% 3.02/3.23 % --res_backward_subs full
% 3.02/3.23 % --res_forward_subs_resolution true
% 3.02/3.23 % --res_backward_subs_resolution true
% 3.02/3.23 % --res_orphan_elimination false
% 3.02/3.23 % --res_time_limit 1000.
% 3.02/3.23 % --res_out_proof true
% 3.02/3.23 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_6abc8e.s
% 3.02/3.23 % --modulo true
% 3.02/3.23
% 3.02/3.23 % ------ Combination Options
% 3.02/3.23
% 3.02/3.23 % --comb_res_mult 1000
% 3.02/3.23 % --comb_inst_mult 300
% 3.02/3.23 % ------
% 3.02/3.23
% 3.02/3.23
% 3.02/3.23
% 3.02/3.23 % ------ Proving...
% 3.02/3.23 %
% 3.02/3.23
% 3.02/3.23
% 3.02/3.23 % Resolution empty clause
% 3.02/3.23
% 3.02/3.23 % ------ Statistics
% 3.02/3.23
% 3.02/3.23 % ------ General
% 3.02/3.23
% 3.02/3.23 % num_of_input_clauses: 993
% 3.02/3.23 % num_of_input_neg_conjectures: 2
% 3.02/3.23 % num_of_splits: 0
% 3.02/3.23 % num_of_split_atoms: 0
% 3.02/3.23 % num_of_sem_filtered_clauses: 0
% 3.02/3.23 % num_of_subtypes: 0
% 3.02/3.23 % monotx_restored_types: 0
% 3.02/3.23 % sat_num_of_epr_types: 0
% 3.02/3.23 % sat_num_of_non_cyclic_types: 0
% 3.02/3.23 % sat_guarded_non_collapsed_types: 0
% 3.02/3.23 % is_epr: 0
% 3.02/3.23 % is_horn: 0
% 3.02/3.23 % has_eq: 1
% 3.02/3.23 % num_pure_diseq_elim: 0
% 3.02/3.23 % simp_replaced_by: 0
% 3.02/3.23 % res_preprocessed: 2
% 3.02/3.23 % prep_upred: 0
% 3.02/3.23 % prep_unflattend: 0
% 3.02/3.23 % pred_elim_cands: 0
% 3.02/3.23 % pred_elim: 0
% 3.02/3.23 % pred_elim_cl: 0
% 3.02/3.23 % pred_elim_cycles: 0
% 3.02/3.23 % forced_gc_time: 0
% 3.02/3.23 % gc_basic_clause_elim: 0
% 3.02/3.23 % parsing_time: 0.059
% 3.02/3.23 % sem_filter_time: 0.
% 3.02/3.23 % pred_elim_time: 0.
% 3.02/3.23 % out_proof_time: 0.
% 3.02/3.23 % monotx_time: 0.
% 3.02/3.23 % subtype_inf_time: 0.
% 3.02/3.23 % unif_index_cands_time: 0.
% 3.02/3.23 % unif_index_add_time: 0.001
% 3.02/3.23 % total_time: 2.735
% 3.02/3.23 % num_of_symbols: 140
% 3.02/3.23 % num_of_terms: 4160
% 3.02/3.23
% 3.02/3.23 % ------ Propositional Solver
% 3.02/3.23
% 3.02/3.23 % prop_solver_calls: 1
% 3.02/3.23 % prop_fast_solver_calls: 3
% 3.02/3.23 % prop_num_of_clauses: 1029
% 3.02/3.23 % prop_preprocess_simplified: 2829
% 3.02/3.23 % prop_fo_subsumed: 0
% 3.02/3.23 % prop_solver_time: 0.
% 3.02/3.23 % prop_fast_solver_time: 0.
% 3.02/3.23 % prop_unsat_core_time: 0.
% 3.02/3.23
% 3.02/3.23 % ------ QBF
% 3.02/3.23
% 3.02/3.23 % qbf_q_res: 0
% 3.02/3.23 % qbf_num_tautologies: 0
% 3.02/3.23 % qbf_prep_cycles: 0
% 3.02/3.23
% 3.02/3.23 % ------ BMC1
% 3.02/3.23
% 3.02/3.23 % bmc1_current_bound: -1
% 3.02/3.23 % bmc1_last_solved_bound: -1
% 3.02/3.23 % bmc1_unsat_core_size: -1
% 3.02/3.23 % bmc1_unsat_core_parents_size: -1
% 3.02/3.23 % bmc1_merge_next_fun: 0
% 3.02/3.23 % bmc1_unsat_core_clauses_time: 0.
% 3.02/3.23
% 3.02/3.23 % ------ Instantiation
% 3.02/3.23
% 3.02/3.23 % inst_num_of_clauses: 921
% 3.02/3.23 % inst_num_in_passive: 0
% 3.02/3.23 % inst_num_in_active: 0
% 3.02/3.23 % inst_num_in_unprocessed: 994
% 3.02/3.23 % inst_num_of_loops: 0
% 3.02/3.23 % inst_num_of_learning_restarts: 0
% 3.02/3.23 % inst_num_moves_active_passive: 0
% 3.02/3.23 % inst_lit_activity: 0
% 3.02/3.23 % inst_lit_activity_moves: 0
% 3.02/3.23 % inst_num_tautologies: 0
% 3.02/3.23 % inst_num_prop_implied: 0
% 3.02/3.23 % inst_num_existing_simplified: 0
% 3.02/3.23 % inst_num_eq_res_simplified: 0
% 3.02/3.23 % inst_num_child_elim: 0
% 3.02/3.23 % inst_num_of_dismatching_blockings: 0
% 3.02/3.23 % inst_num_of_non_proper_insts: 0
% 3.02/3.23 % inst_num_of_duplicates: 0
% 3.02/3.23 % inst_inst_num_from_inst_to_res: 0
% 3.02/3.23 % inst_dismatching_checking_time: 0.
% 3.02/3.23
% 3.02/3.23 % ------ Resolution
% 3.02/3.23
% 3.02/3.23 % res_num_of_clauses: 1023
% 3.02/3.24 % res_num_in_passive: 15
% 3.02/3.24 % res_num_in_active: 410
% 3.02/3.24 % res_num_of_loops: 5
% 3.02/3.24 % res_forward_subset_subsumed: 468
% 3.02/3.24 % res_backward_subset_subsumed: 10
% 3.02/3.24 % res_forward_subsumed: 0
% 3.02/3.24 % res_backward_subsumed: 0
% 3.02/3.24 % res_forward_subsumption_resolution: 1
% 3.02/3.24 % res_backward_subsumption_resolution: 1
% 3.02/3.24 % res_clause_to_clause_subsumption: 4
% 3.02/3.24 % res_orphan_elimination: 0
% 3.02/3.24 % res_tautology_del: 0
% 3.02/3.24 % res_num_eq_res_simplified: 0
% 3.02/3.24 % res_num_sel_changes: 0
% 3.02/3.24 % res_moves_from_active_to_pass: 0
% 3.02/3.24
% 3.02/3.24 % Status Unsatisfiable
% 3.02/3.24 % SZS status Unsatisfiable
% 3.02/3.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------